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Q.8

Expert-verified
Found in: Page 550

Pre-algebra

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

Find the unknown base or height of the trapezoid.$A=12{\text{ft}}^{2},{b}_{1}=2\text{ft},{b}_{2}=\underset{¯}{?},h=3\text{ft}$

The unknown base is 6 ft.

See the step by step solution

Step 1. Given information.

Area of Trapezoid is$12{\text{ft}}^{2}$, the unknown base and height is 2 ft. and 3 ft.

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.

Substitute the given values in the formula to find the remaining base.

$\begin{array}{c}12=\frac{1}{2}×\left(2+{b}_{2}\right)×3\\ 4=\frac{1}{2}×\left(2+{b}_{2}\right)\\ 2+{b}_{2}=8\\ {b}_{2}=8-2\\ =6\end{array}$

Step 4. Conclusion.

Therefore, the required base is 6 ft.