Area of a shape - high school - practice problems - page 3 of 26
Number of problems found: 502
- Trapezium
The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). If the area of the trapezium is 590, find the value of x. - Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle. - Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 9:14 and perimeter is 388. - Rectangle
The area of a rectangle is 546. Its length is 25 larger than the width. What are the dimensions of the rectangle? - Isosceles 9881
The area of an isosceles right triangle is 32 cm square. What is his circuit? - A yard
Yevgen is fencing in a yard that is 30 meters longer than it is wide. The yard will have an area of 1000 m². Find its width and length. - Percent change
The length of a rectangle is increased by 25%, and the width is decreased by 10%. By what percent is the area of the rectangle larger than the area of the original rectangle? - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 16 cm and |CAB| = 20°. Calculate area of the trapezoid. - Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Area of RT
Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5. - Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Perpendicular 41811
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm. - Silo
The outer perimeter of the silo is 32 m. The concrete wall is 35 cm thick. What is the diameter and area of the inside floor of the silo? - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - Triangle
The triangle has known all three sides: a=4.6 m, b=7.4 m, c= 3.8 m. Calculate the area of this triangle. - ISO trapezium
Calculate the area of an isosceles trapezoid with base 95 long, leg 27 long, and with the angle between the base and leg 70 degrees. - Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm. - Triangle SAA
The triangle has one side long 71 m, and its two internal angles are 60°. Calculate the perimeter and area of the triangle. - Hydrostatic 80798
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure.
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