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: 3107
- Lamp shade
A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of bases 3 in. and 7 in. respectively. How much material is used in its construction if ¼ in. 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 the perimeter is 32 cm.
- Eva wraps
Eva 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 meters?
- The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height?
- A rope for cow
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m .
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
- Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
- A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share?
- The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- Rectangle -S2
I need help calculating 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 breadth 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 sq m. 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 the 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 the same then find its radius.
- Blue region
Find the area of the blue region on the picture.
- Parallelogram - simple
One of the sides and the 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-meter lawn before stopping to chat with a neighbor. How many square meters does Tara have left to mow after chatting with her neighbor?
- Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches.
- Largest circle
If the largest possible circle is cut off from a 8 cm × 4 cm rectangle, what is the area in sq cm of the remaining portion?
- Two cubes 2
Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid .
- A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum.
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