Examples of area of plane shapes - page 21 of 129
Number of problems found: 2563
- Side and diagonal
Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm. - Height of the triangle
What is the height of the triangle with 7.8 cm² and the side a = 5.2 cm. (Calculation and procedure) - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - The trapezium
The trapezium is formed by cutting the top of the right-angled isosceles triangle. The trapezium base is 10 cm, and the top is 5 cm. Find the area of the trapezium. - An equilateral
An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - A rectangle
A rectangle has an area of 36 cm². What could the length and width of the rectangle be? - Isosceles triangle
Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm. - Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - Rhombus
PQRS is a rhombus. Given that PQ=3 cm & height of the rhombus is given 2 cm. Calculate its area. - Area of RT
Calculate the right triangle area in which the hypotenuse has length 14 and one hypotenuse segment has length 5. - Expansion
If one side of the rectangle is larger 2-times and the second 4-times, what percentage increases the area of the rectangle? - Pipeline
How much percent has the pipe cross-section area changed (reduced) if the circular shape is changed to square with the same perimeter? - Father and son
Father and son are 74 years old together. The son is 30 years younger than the father. How old is the son? - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area. - Percentage 82623
The square in the picture has a side length of 6 cm. What percentage of the area is the colored part? - Hydrostatic 80798
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Dimensions 80782
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2cm x 3cm. - Rectangle 80701
One side of the rectangle has length a=9/5 cm, and the length of side b is 7/10 cm greater than the length of side a. Calculate the perimeter and area of the rectangle. - Determine 79204
A lake with an area of 3 cm² is drawn in the 1:50,000 scale map. Determine the actual size of the lake.
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