Examples of area of plane shapes - page 25 of 131
Number of problems found: 2604
- Dimensions - rectangle
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle. - Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c - The area 2
The area of a rectangular piece of tablecloth is 3/4 m². Its width is 3/10 m. What is its length? - Parallelogram - sides
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides. - Rectangle - area and width
The length of the rectangle is 1 cm more than its width. Its area is 4 cm². What is its width? - The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle? - Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created? - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²? - Isosceles trapezoid
Find the area of an isosceles trapezoid with bases of 8cm and 72mm. The height of the trapezoid is equal to three-quarters of the longer base. - Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm. - The playground
The playground is a square with a side of 64 m. It is fenced on three sides. What is the playground area, and how long is the fence? - 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? - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - Around
Around the circular flowerbed with a radius of 2 m is a sidewalk 80 cm wide. How many square meters does the sidewalk have? - Trapezoid - sides
Calculate the unknown side and the area of the ABCD trapezoid if you know: side a = 7.5 side b = 3.6 side d = 4.4 height v = 3.4 circumference o = 19 c =? S =? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN? - Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form.
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