Find the perimeter and the area of a square, if we know the length of its diagonal *d* *=* 4.2 m.

Find the area of the rectangle *ABCD*, where the length of the side |*AB*| *= a =* 8.2 cm and the diagonal *d = *2*a*.

Lengths of the sides of a rectangular garden are in the ratio 1 : 2. Line connecting the centers of the adjacent sides of the garden is 20 m long. Calculate the perimeter and the area of the garden.

A rectangular garden has a length of 57 m and a width of 42 m. Calculate of how many m^{2} will decrease the area of a garden, if the ornamental fence with a width of 60 cm will be planted inside its perimeter.

A perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find lengths of the sides of the parallelogram.

One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus.

Find a length of the diagonal *AC* of the rhombus *ABCD* if its perimeter *P = *112 dm and the second diagonal *BD* has a length of 36 dm.

In the isosceles trapezoid *ABCD* we know: *AB*||*CD*, |*CD*|* = c = *8 cm, height *h = *7 cm, |∠*CAB*| = 35°. Find the area of the trapezoid.

A trapezoid *ABCD* has the bases length of *a = *120 mm, *c = *86 mm and the area *A = *2,575 mm^{2}. Find the height of the trapezoid.

Consider the isosceles trapezoid *PQRS*. The bases are |*PQ*|* = *120 mm, |*RS*|* = *62 mm and the arm *s = *48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid.

A land of a right-angled trapezoid shape has the bases lengths of 92 m and 76 m and the vertical arm is 6.3 m long. Find the land area and the length of a fencing needed to fence the land.

A perimeter of an isosceles triangle is 474 m. The base of the triangle is by 48 m longer than the arm. Find the length of the sides and the area of the triangle.

A right-angled triangle *ABC* has the legs *a = *5 cm, *b = *8 cm. A triangle *A'B'C'* is similar to the triangle *ABC* and it is 2.5 times smaller. Calculate what percentage of the area of the triangle *ABC* takes the area of the triangle *A'B'C'*.

A right-angled isosceles triangle has the area of 32 cm^{2}. What is its perimeter ?

An equilateral triangle has the perimeter of 36 dm. What is its area ?

A triangle *ABC* has side lengths *a = *14 cm, *b = *20 cm, *c = *7.5 cm. Find the size of the internal angles and the area of the triangle.

Find the perimeter, the area and the size of remaining angles of a triangle *ABC*, when: *a = *8.4, *β = *105°35' and median of side *a* is *m _{a} = *12.5.

Find the lenght of all sides and the size of all internal angles of the triangle *ABC*, if we know: *A = *501.9; α* = *15°28' and *β = *45°.

A parallelogram *ABCD* has the area of 40 cm^{2}, |*AB*|* = *8.5 cm and |*BC*| = 5.65 cm. Find the length of its diagonals.

Find the area of a regular hexagon, if we know the radius of its inscribed circle *ρ* = 4 cm.

In the regular hexagon *ABCDEF* the diagonal *AC* has the length of 12 cm. Find the length of the side of the hexagon *ABCDEF* and determine its area.

Find the perimeter of a circle if its area is 706.5 cm^{2}.

Find the area of a circle if its perimeter is 94.2 dm.

A square on the picture has 8 cm long side. Find the area of the colored part of a circle.

On the picture two and another two semicircles are identical. The radius of one semicircle is twice as large as the radius of the other semicircle. Find the area of the colored pattern if |*AB*|* = *12 cm.

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