Area Exercises

Example 1

Solve for the area of a trapezoid with bases of length 4 and 5, with a height of 6.

Hint

The area of a trapezoid is always A = ½(b₁ + b₂)h.

Example 2

Solve for the area of a trapezoid with bases of length 6 inches and 4 feet, with a height of 6 feet.

Hint

Make sure to convert your units (1 foot = 12 inches).

Example 3

Solve for the height of a trapezoid with an area of 24 in² and bases with lengths of 16 and 8 in.

Hint

Rearrange the area equation to solve for h.

Example 4

A trapezoid with an area of 8 units² and a height of 4 units has two bases such that one base is three times as long as the other. What are the lengths of the bases?

Hint

Plug b₁ = x and b₂ = 3x into the area of a trapezoid equation.

Example 5

What's the area of the trapezoid below?

Hint

Which one of Pythagoras's many theorems should we use to find the height?

Example 6

What's the area of the trapezoid below?

Hint

The length of the missing base is the small base plus the amount we calculate using the Pythagorean Theorem where the hypotenuse is—have we said too much?

Area Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Tired of ads?