# Diagonal + expression of a variable from the formula - practice problems

#### Number of problems found: 129

- Trapezoid and diagonals

Find the area of a trapezoid with bases a = 24 cm, c = 16 cm and diagonals u = 22 cm, v = 26 cm. - Diagonals of 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. - One of

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. - The area

The area of a rhombus is 143 m². If the longer diagonal is 26 m, find the shorter diagonal in inches named d1. - Parallelogram diagonals

Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees. - The diamond

The diamond has an area S = 120 cm^{2}, the ratio of the length of its diagonals is e: f = 5: 12. Find the lengths of the side and the height of this diamond. - Side and diagonal

Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm. - Metal washers

Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Calculate the percentage of material waste if no material is lost when two adjacent circles meet. - The diagonals

The diagonals of the KOSA diamond are 20 cm and 48 cm long. Calculate the circumference of the diamond in centimeters rounded to one unit. - Rhombus and diagonals

The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides. - Diagonal BD

Find the length of the diagonal BD in a rectangular trapezoid ABCD with a right angle at vertex A when/AD / = 8,1 cm and the angle DBA is 42° - Perimeter and diagonal

The perimeter of the rectangle is 82 m, the length of its diagonal is 29 m. Find the dimensions of the rectangle. - Triangle in a square

In a square ABCD with side a = 6 cm, point E is the center of side AB, and point F is the center of side BC. Calculate the size of all angles of the triangle DEF and the lengths of its sides. - Two circles

Two circles with the same radius r = 1 are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - A rectangle 2

A rectangle has a diagonal length of 74cm. Its side lengths are in ratio 5:3. Find its side lengths. - A rhombus

A rhombus has sides of length 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus. - Ratio of sides

Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7. - Cincinnati

A map is placed on a coordinate grid. Cincinnati located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - Rectangle

There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle. - Rectangular plot

The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot.

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Diagonal - practice problems. Expression of a variable from the formula - practice problems.