Examples of area of plane shapes - page 26 of 135
Number of problems found: 2697
- Arbor
Calculate in square metres the area of an arbour whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - 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. - Geometric series terms
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Circle triangle hole
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32 mm, and the side of the triangle, a=20.8 mm. - Triangle arithmetic sides
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. - 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? - 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. - Percentage - rhombus
If the side of the rhombus in the image increases by half, by what percentage will the area of the rhombus increase? - Garden perimeter area
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 9 m long. - A rectangle 8
A rectangle measuring 6 cm and 4 cm is enlarged by the ratio of 3:1. What is the area of the enlarged rectangle? - The width The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the garden's dimension?
- Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Parallelogram - A+p
Calculate the area and perimeter of a parallelogram if side a = 5.2 cm and height to side is va = 4 cm (it is a parallelogram, not a triangle) - Circle diameter
Calculate the diameter of a circle whose area in cm² and the circumference in cm are expressed by the same number. - Circle radius increase
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification. - Corresponding height
Calculate the height corresponding to the side of the parallelogram ABCD if the side is 7.4 cm long and the area of the parallelogram is 33.3 cm2 - The schoolyard
The schoolyard had the shape of a square with an 11 m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged? - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Area Rate Time
In 2 hours, 100 m square, what is an area in 3 hours? - Room Square Carpet Area
My room is square. One wall is 2.8 meters long. I have a rug on the floor covering half my room's area. What area does the carpet cover?
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