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 77 and height 44.

Example 2

medium
A rectangle has area 7272. List all possible integer (length, width) pairs with length โ‰ฅ\geq width.

Example 3

easy
A rectangle has area 2424 and length 66. Find its width.

Example 4

hard
An equilateral triangle has side 1010. Find its area in simplest radical form.

Example 5

hard
A square has the same area as a rectangle of dimensions 16ร—916 \times 9. Find the square's side.

Example 6

easy
A square has area 4949 ftยฒ. Find its side length.

Example 7

easy
Find the area of an L-shape: a 6ร—46 \times 4 rectangle with a 2ร—22 \times 2 square cut from one corner.

Example 8

medium
Find the area of a right triangle with legs 55 and 1212.

Example 9

easy
Find the area of a rectangle with length 1212 cm and width 77 cm.

Example 10

easy
Find the area of a square with side 88 in.

Example 11

medium
A trapezoid has area 4848, parallel sides 66 and 1010. Find its height.

Example 12

hard
A path of uniform width 22 ft surrounds a 20ร—1220 \times 12 ft garden. Find the area of the path.

Example 13

medium
A parallelogram has base 1212 cm and area 8484 cmยฒ. Find its height.

Example 14

medium
Find the area of a trapezoid with parallel sides 55 and 99, and height 44.

Example 15

easy
Find the area of a rectangle with length 1212 cm and width 99 cm.

Example 16

challenge
A path of uniform width 11 ft surrounds a 10ร—1510 \times 15 ft garden. Find the area of the path.

Example 17

challenge
A rectangle has area 6060 and one side 55 longer than the other. Find both sides.

Example 18

easy
A rectangle has area 4040 and width 55. Find its length.

Example 19

medium
Find the area of an equilateral triangle with side 66.

Example 20

easy
Find the area of a triangle with base 66 and height 99.