Area + diagonal - practice problems - page 2 of 12
Number of problems found: 237
- Quadrilateral 66614
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm². - Parallelogram 65334
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area. - Rectangular 63094
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long. - Rectangle 62854
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm. - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - A prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square of 10cmx10cm. Find the volume of the prism. - 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. - 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. - Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism. - Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Angle of diagonals
Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°. - The diamond
The diamond has an area S = 120 cm2, and 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. - A rhombus 2
A rhombus has sides of 170 meters and a diagonal of 300 meters. What is the area of the rhombus? - Side and diagonal
Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm. - Base diagonal
In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid. - Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long. - 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. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Calculate 39131
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square.
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