Area - practice problems
To calculate the area of a shape, you need to know:1. What shape is it? (e.g., square, rectangle, triangle, circle, etc.)
2. What are its dimensions? (e.g., side lengths, radius, base, height, etc.)
3. Then plug the values into the correct formula.
4. Write the answer with square units (e.g., cm², m²).
Number of problems found: 3160
- Spherical sector - parameters
Find the volume and surface area of a spherical sector whose base has a height of 8 cm, drawn on a sphere with a diameter of 36 cm. - The perimeter 13
The perimeter of a rectangle is 22 cm. What are its dimensions if it has the maximum possible area? - Enlarged photo
A photograph has been enlarged by a scale factor of 1.75. If the enlarged photo has an area of 675 cm², what is the area of the original photo? - Four plates
Four equal maximum-sized circular plates are cut from a square sheet of paper with an area of 784 cm². Calculate the circumference of each plate. - Lamp shade
A lampshade is in the form of a frustum of a cone with a slant height of 7 inches and base radii of 3 inches and 7 inches respectively. How much material is used in its construction if 1/4 inch is allowed for the seam? - Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and whose perimeter is 32 cm. - Eva wraps
Eve wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square metres? - The surface 5
The surface area of a cylinder is 6,140 cm², and the base radius is 25 cm. What is the height? - A rope for cow
Find the length of rope by which a cow must be tethered so that it can graze an area of 154 m². - A rectangle 15
A rectangle is 5 cm longer than its width. Its area is 6 cm². What are the dimensions of the rectangle? - Rhombus = area, diagonal
The area of a rhombus is 144 cm². One diagonal is twice the length of the other. How long is the shorter diagonal? - A man 24
A man distributed €25,300 among his 3 sons A, B, and C such that the amounts of their portions, with 10% simple interest over 2 years, 3 years, and 4 years respectively, will be equal. What is A's share? - The rhombus (a,d) Find the area of a rhombus, one side of which measures 20 cm and one diagonal of which is 24 cm.
- Rectangle - S2
Calculate the area and perimeter of a rectangle with a length of 8 cm and a width of 5 cm. - The length 20
The length and width of a rectangular park are in the ratio 8:5. A path 1.5 m wide, running all around the outside of the park, has an area of 594 m². Find the dimensions of the park. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and whose non-parallel sides are 14 m and 13 m. Find the area of the field. - Surface = volume
If the volume and the surface area of a sphere are numerically equal, find its radius. - Blue region
Find the area of the blue region shown in the picture. - Parallelogram - simple
One side and its corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram. - Mowing lawn Tara is mowing her lawn. She mows 3/5 of her 925-square-metre lawn before stopping to chat with a neighbour. How many square metres does Tara have left to mow?
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