Geometry problem solver

The square

square	square circumscribed	square inscribed

They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples.

Track 1

One side of a square measuring 20 cm. Calculate the perimeter and area.

Track 2

The area of a square is 36 cm². Calculate the perimeter.

Track 3

The perimeter of a square is 24 cm. Calculate the area.

Track 4

The area of a square is 16 cm². Calculate the side of the square.

Track 5

The perimeter of a square is 100 cm. Calculate the length of the side of the square.

Track 6

The side of a square measuring 5 cm. Calculate the diagonal and perimeter.

Track 7

The diagonal of a square measuring 7.7 cm. Calculate the side and the perimeter.

Track 8

The side of a square measuring 5 cm. Calculate the radius of the circle inscribed in the square.

Track 9

The diagonal of a square measuring 7.7 cm. Calculate the radius of the circle squared.

Track 10

The diagonal of a square measuring 7.7 cm. Calculate the radius of the circle inscribed in the square.

Track 11

The side of a square measuring 5 cm. Calculate the radius of the circle squared.

Track 12

A size of a rectangle is half of the side of a square with a perimeter of 20 cm. Knowing that the two polygons have the same perimeter, calculates the measurement of the size of the rectangle.

Track 13

A square has a diagonal measurement of 28.284 cm. Calculate the perimeter and area of the square.

Track 14

A rectangle, having a height 30 cm and 40 cm base, is equivalent to 3/4 of a square. Calculate the perimeter of the square.

Track 15

A rectangular trapezoid is equivalent to 1/4 of a square with the perimeter of 160 cm. Knowing that the height of the trapezoid measuring 20 cm and the difference of the bases 6 cm, calculates the area of a rectangle having the dimensions congruent to the bases of the trapezium.

Track 16

A builder wants to build in a plot of land 200 square meters of perimeter, a square pool so that each side remain 5 m between the edge and the fence of the land. What is the perimeter of the pool?

Track 17

Draw a square of side 10 cm inscribed in a circle.

Track 18

Draw a square of side 10 cm circumscribed around a circle.

Track 19

The perimeter of a rectangle is 100 cm and the height exceeds the basis of 30 cm. Calculates the measurement of the side of a square equivalent to the rectangle.

Track 20

The difference of the size of a rectangle is 14 cm and the base is the 5/3 of the height. Calculate the area of an isoperimetric square to rectangle.

Track 21

Increasing the extent of 10 cm of the base of a rectangle is obtained by a square of area 400 cm². Calculate the perimeter of the rectangle.

Track 22

A square has an area of 81 cm². Calculate its perimeter. Knowing that the square is equivalent to 3/2 of a rectangle 5.4 cm high, calculate the perimeter of the the rectangle.

Track 23

The perimeter of a rectangle is 180 cm and the difference of the two dimensions measure 10 cm. Calculate the perimeter of a square equivalent to 1/5 of the rectangle.

Track 24

A rectangle with base 10 cm is equivalent to a square whose diagonal measurement of 28.29 cm. Find the perimeter of the rectangle.

Track 25

The side of a square is congruent to the base of a rectangle having the area of 56 m² and the height 700 cm long. Calculates perimeter and area of the square.

Track 26

The side of a square is three times the side of an equilateral triangle having the perimeter of 90 cm. Calculate the perimeter of the square.

Track 27

A triangle has a base of 30 cm and height of 20 cm. Find the perimeter of a square equivalent to 4/3 of the triangle.

Track 28

In a right triangle the hypotenuse is 5 dm long and cathetus 4 dm. Find the area of a square whose perimeter is 4/3 of the perimeter of the triangle.

Track 29

Find the perimeter of the square equivalent to a right-angled triangle whose hypotenuse is 76.22 cm long and a 2.5 dm cathetus.

Track 30

In an isosceles triangle, the perimeter is 170 cm and the base measures 70 cm. Calculate the area and perimeter of a square equivalent to 2/25 of the triangle.

Track 31

In the sum of the diagonals of a rhombus is 150 cm and a is the 1/2 of the other. Calculate: the measurement of the side of a square equivalent to the roar; the perimeter of a rectangle equivalent to 1/5 of diamond, knowing that its size is a 4/5 of the other; the measurement of the three heights of a scalene triangle equivalent to 6/25 of the rhombus and whose sides measure respectively 30 cm, 40 cm and 50 cm

Track 32

The diagonal of a rectangle measuring 50 m and the base is 3/5 of the diagonal. Calculate the perimeter and the length of the diagonal of a square equivalent to 3/4 of the rectangle.

Track 33

The area of a rhombus is 900 cm² and a diagonal measurement of 30 cm. Determine the area of the square with a side length congruent to the other diagonal of the rhombus.

Track 34

In a rhombus a diagonal is 96 cm long and the other is 7/24 of the first. Find the area of a square whose perimeter is congruent to that of diamond.

Track 35

The area of a rectangle is 672 cm and a size is 48 cm. Calculate the perimeter and area of a square with a diagonal length as that of the rectangle.

Track 36

In a rectangle measuring the difference of the size 20 cm and the lower is the 3/5 of the greater. Calculate the perimeter of a square whose area is 4/15 of that of the rectangle.

Track 37

A rectangle has a diagonal equal to 5/3 of the base. The sum of the diagonal plus the base is 48 cm. Calculates perimeter and area of the rectangle. Then finds the diagonal of a square which has the same perimeter of the rectangle.

Track 38

Two equal rectangles with sides of 180 cm and 90 are joined to the longer side. Calculate the perimeter and area of the square obtained.

Track 39

Two adjacent rectangular fields, the surface having a double the other, together form a square-shaped plot of land having an area of 10000 square meters. Calculate the measure of the size of each field.

Track 40

The side of a square is congruent to three times the height of a rectangle having long base 50 dm and the area of 1500 cm². Calculates perimeter and area of the square.

Track 41

A rhombus and a square are equivalent. Knowing that the side of a square measuring 18.33 cm, calculates the perimeter of the rhombus having the relative height to the side 13.44 cm long.

Track 42

A rectangle has the area of 1500 dm² and a size is congruent to 3/5 of the other. Determine the area of the square with a side length congruent to the size of the rectangle.

Track 43

A square is equivalent to a rectangle that has the dimensions of 4 cm and 9 cm. Calculate the perimeter of the square.

Track 44

The side of a square is congruent to the greater side of a parallelogram having the perimeter of 160 cm and a side 5/3 of its row. Calculate the perimeter of the square.

Track 45

A square which has a side of 50 cm is divided by a line parallel to one of its sides into two rectangles. Knowing that the surface of one of them is equal to 2/3 of that on the other hand, calculates the perimeter and the area of the two rectangles.

Track 46

The sum of the two consecutive sides of a rectangle measuring 100 cm and a is 1/4 of the other. Calculate the perimeter of a square equivalent to the rectangle.

Track 47

A square of side 50 dm is equivalent to a roar, the diagonals of the rhombus is knowing that I am a 1/2 of the other.

Track 48

A trapezoid is formed by a square and a right triangle. Knowing that the area of the triangle is 6 square centimeters and that the difference between the bases of the trapezoid measuring 4 cm, calculate the area of the trapezoid.

Track 49

The difference between the lengths of the two dimensions of a rectangle is 14 cm and a is the 5/3 of the other. Calculates the extent of the side of a square with a perimeter equal to three times that of the rectangle.

Track 50

A rectangle has a perimeter of 200 dm, the base of 80 dm. Calculate the side and the perimeter of the square equivalent to the rectangle.

Track 51

A rectangle and a square are equal and their area is 1600 cm². Compute their perimeters knowing that the base of the rectangle is congruent to twice the side of the square.

Track 52

A square and a rectangle have the same perimeter. Knowing that the rectangle has the area of 1500 sq dm and 50 dm long base, calculate the area of the square.

Track 53

A scrap of cloth from which you can get this rolling six squares of side 4 dm is equivalent to a 6.85 m long rectangular scrap. Determines the measure of the width of the latter.

Track 54

A rhombus has a perimeter of 200 cm, a square has a perimeter of 120 cm, the noise is equivalent to 10/9 of the square. Calculate the height of the diamond.

Track 55

The area of a rhombus is 864 cm² and a diagonal is the 4/3 of the other. Calculates the area of a parallelogram having the base and the height respectively congruent to 25/24 and 15/24 of the longest diagonal of the rhombus; the perimeter of a square equivalent to 16/15 of the parallelogram.

Track 56

The perimeter of a parallelogram is 220 m, one side measuring 50 m and its height is equal to its 3/5. Calculates the area of the parallelogram, the height measurement relative to the other side; the perimeter of the square equivalent to 9/15 of the parallelogram; the perimeter of a rectangle having a height of 20 m and equivalent to the double of the parallelogram.

Track 57

A pentagon is formed by a square and a triangle external to it and whose base is a side of the square. Calculate the area of the pentagon, knowing that the square is 100 m² and that the height of the triangle measures 12 m.

Track 58

A square with the side of 10 cm is equivalent to a rectangle. Calculate the height of the rectangle knowing the extent of the base measures 50 cm. Calculates, in addition, the perimeter of the square and the perimeter of the rectangle.

Track 59

Calculates the perimeter of a square equivalent to a parallelogram that has a perimeter of 210 cm, the oblique side of 25 cm and a height of 20 cm.

Track 60

A square and a rectangle are isoperimetric. Knowing that the sum of the measures of the size of the rectangle is 80 cm, calculate the measure of the side of the square and its area.

Track 61

The sum of the base and the height of a triangle is 60 cm and a is the 1/2 of the other. Calculates the measure of the perimeter of the square that has the same area of the triangle.

Track 62

The measures of the legs of a right triangle are 400 cm and 30 dm and the perimeter measuring 12 m. Determines the area and the measure of hypotenuse. Calculate :
1) measures the height and perimeter of the rectangle and triangle equivalent to having the basis of 25 dm;
2) The perimeter of a square equivalent to 3/2 of the triangle;
3) the apothem of a pentagon equivalent to the triangle;
4) the perimeter of the hexagon congruent to 5/3 of the triangle;
5) the side of a heptagon having the same perimeter of the triangle;
6) the apothem of an octagon equivalent to 7/8 of the triangle;
7) the perimeter of a ennagono equivalent to the triangle;
8) the area of a decagon having the congruent side hypotenuse of the triangle;
9) the apothem of a endecagono having the side equal to the minor cathetus of the triangle;
10) the perimeter of a dodecagon having the side equal to the height relative to the hypotenuse of the triangle.

Track 63

A rectangle and a square are isoperimetric. The sum of the lengths of the diagonal and the base of the rectangle measuring 98 cm and a is the 25/24 of the other. Calculate the area of an equilateral triangle with a side length congruent to the diagonal of the square.

Track 64

A square and a rectangle have the same perimeter. The base of the rectangle is 5/3 height and their difference is 20 cm. Calculate the area of the rectangle and the square.

Track 65

A square has a diagonal 141,42 cm long. Calculates the length of the diagonal of a rectangle isoperimetric squared and having the height of the 3/2 of the base.

Track 66

The perimeter of a rectangle is 260 cm and the two dimensions are the 8/5 of the other. Calculate the perimeter of a square with a side length congruent to the size of the rectangle.

Track 67

In a parallelogram, the base is three times the height relative to it and the area is 7500 m²; a square has the side congruent to twice the difference between the base and the height of the parallelogram; calculate the perimeter and area of the square.

Track 68

In an isosceles triangle the oblique side measuring 25 cm and the perimeter is 64 cm. Calculates the perimeter of the square that has the area equivalent to 50/21 of that of the triangle.

Track 69

The side of a square measures 20 cm. Calculate the perimeter of a rectangle equivalent to 3/8 square and whose height is congruent to 3/4 of the side of the square.

Track 70

Calculate the radius of a circle equivalent to a square with the area of 100 cm².

Track 71

Calculates the difference of the areas of a circle and a square that have the respective measures of the radius and the side of 20 cm.

Track 72

A rectangle is composed of five congruent squares, each of which has the area of 100 cm². Calculate the perimeter of the rectangle.

Track 73

Calculates the length of an arc of circumference having a radius 10 cm, belonging to a sector of a circle equivalent to a square whose side is 10 cm long.

Track 74

The side of a square measuring 5 cm. Calculate the diameter of the circle inscribed in the square.

Track 75

The side of a square measuring 5 cm. Calculate the diameter of the circle squared.

Track 76

The side of a square measuring 5 cm. Calculate the length of the circle surrounding the square.

Track 77

The side of a square measuring 5 cm. Calculate the length of the circle inscribed in the square.

Track 78

The side of a square measuring 5 cm. Calculate the area of the circle inscribed in the square.

Track 79

The side of a square measuring 5 cm. Calculate the area of the circle squared.

Track 80

The side of a square measuring 5 cm. Calculate the angle at the center knowing that the angle at the circumference is 50 °.

Track 81

The side of a square measuring 5 cm. Calculate the central angle subtended by the chord AB of the circle squared.

Track 82

The side of a square measuring 5 cm. Calculate:
the central angle subtended by the chord AB of the circle circumscribed to the square;
the area of the circular sector;
the length of arc subtended by the chord AB;
the distance of the rope from the center of the circle.
.

Track 83

The chord AB of the circle to a square is 2.5 cm from the centro.Calcola the perimeter and the area of the square.

Track 84

The radius of the circle circumscribing circle to a square is 3.5355 cm.Calcola the perimeter and the area of the square.

Track 85

The diameter of the circle circumscribing circle to a square is 7,071 cm.Calcola the perimeter and the area of the square.

Track 86

A square has an area of 25 cm²; measure calculates the area of a circle having the radius congruent to the diagonal of the square.

Track 87

A square has an area of 25 cm²; measure calculates the area of a circle having the radius congruent to the side of the square.

Track 88

A square has a perimeter of 20 cm; calculates the measure of the length of the circumference having the diameter congruent to the side of the square.

Track 89

A rectangle has a perimeter of 260 cm and the height congruent to 5/8 of the base. Determines the ratio between the perimeter of this rectangle and the perimeter of the square whose area is the 2/5 of the area of the rectangle.

Track 90

A parallelogram is equivalent to 3/4 of a square area of 2500 cm². Calculate the perimeter of the parallelogram knowing that the height relative to a side measuring 25 cm and that the other side is congruent to the side of the square.

Track 91

The perimeter of a rectangle measure 260 cm and the base is 8/5 of the height. Calculate:
measure of the size of the rectangle;
the measure of the side of a square that has a perimeter that is 4/5 of the perimeter of the rectangle;
the area of the two polygons.

Track 92

A farmer has a square with the side of 100 m. He wants to cultivate the 3/5 durum wheat and potatoes to the rest of Galatina. How many dam² will be planted with potatoes Galatina?

Track 93

The base of a rectangle exceeds 20 cm the side of a square equivalent to the rectangle; its height is smaller of 16 cm to the side of the square. Calculates the area and perimeter of the rectangle.

Track 94

A sheet of paper has an area of 1250 cm²; calculate the maximum number of squares of side 5 cm that can be obtained by cutting the paper.

Track 95

A circle has a radius equal to 2/5 of the side of a square with the area of 625 cm². Calculate the length of the circumference and the circle area.

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