Practice Area in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The amount of two-dimensional space inside a flat shape, measured in square units.

How many unit squares would you need to tile the inside of the shape completely, with no gaps?

Showing a random 20 of 50 problems.

Example 1

easy
Find the area of a parallelogram with base 7 and height 4.

Example 2

medium
A rectangle has area 72. List all possible integer (length, width) pairs with length ≥ width.

Example 3

easy
A rectangle has area 24 and length 6. Find its width.

Example 4

hard
An equilateral triangle has side 10. Find its area in simplest radical form.

Example 5

hard
A square has the same area as a rectangle of dimensions 16×9. Find the square's side.

Example 6

easy
A square has area 49 ft². Find its side length.

Example 7

easy
Find the area of an L-shape: a 6×4 rectangle with a 2×2 square cut from one corner.

Example 8

medium
Find the area of a right triangle with legs 5 and 12.

Example 9

easy
Find the area of a rectangle with length 12 cm and width 7 cm.

Example 10

easy
Find the area of a square with side 8 in.

Example 11

medium
A trapezoid has area 48, parallel sides 6 and 10. Find its height.

Example 12

hard
A path of uniform width 2 ft surrounds a 20×12 ft garden. Find the area of the path.

Example 13

medium
A parallelogram has base 12 cm and area 84 cm². Find its height.

Example 14

medium
Find the area of a trapezoid with parallel sides 5 and 9, and height 4.

Example 15

easy
Find the area of a rectangle with length 12 cm and width 9 cm.

Example 16

challenge
A path of uniform width 1 ft surrounds a 10×15 ft garden. Find the area of the path.

Example 17

challenge
A rectangle has area 60 and one side 5 longer than the other. Find both sides.

Example 18

easy
A rectangle has area 40 and width 5. Find its length.

Example 19

medium
Find the area of an equilateral triangle with side 6.

Example 20

easy
Find the area of a triangle with base 6 and height 9.