• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon

Suggested languages for you:

Americas

Europe

Q.18

Expert-verified
Found in: Page 551

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# The height of trapezoid is 2 feet. One of the bases is three times the height, and the other base is four times the height. Find the area of the trapezoid.

The area of the trapezoid is$14{\text{feet}}^{2}$.

See the step by step solution

## Step 1. Given information.

The height is 2 feet and one bases is three times to height, and other base is four times to height.

## Step 2. Formula used.

The formula of area of trapezoid is defined as,

$\text{Area}=\frac{1}{2}×\left(\text{Sum of parallel sides}\right)×\text{Height}$

## Step 3. Calculation.

Find the both base by using height.

$\begin{array}{c}{b}_{1}=3×\text{height}\\ =3\left(2\right)\\ =6\text{feet}\end{array}$

And,

$\begin{array}{c}{b}_{2}=4×\text{height}\\ =4\left(2\right)\\ =8\text{feet}\end{array}$

Substitute the values in the area formula.

$\begin{array}{c}\text{Area}=\frac{1}{2}\left(6+8\right)×2\\ =\frac{1}{2}×14×2\\ =14{\text{feet}}^{2}\end{array}$

## Step 4. Conclusion.

Therefore, the required area is$14{\text{feet}}^{2}$.