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 enclosed inside a flat shape, measured in square units. For rectangles, area equals length times width; for triangles, it is half the base times height; and for circles, \pi r^2. Area answers the question: how much surface does this shape cover?

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

Example 1

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

Example 2

medium
Find the area of a triangle with base 10 cm and height 6 cm.

Example 3

medium
Find the area of a trapezoid with parallel sides 8 cm and 12 cm, and height 5 cm.

Example 4

medium
A trapezoid has parallel sides of 8 cm and 14 cm, and a height of 5 cm. Find its area.

Example 5

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