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Q.9

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.$A=240{\text{m}}^{2},{b}_{1}=16\text{m},{b}_{2}=8\text{m},h=\underset{¯}{?}$

The required height is 20 m.

See the step by step solution

Step 1. Given information.

Area of Trapezoid is$240{\text{m}}^{2}$, the unknown bases are 16 m and 8 m.

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.

$\begin{array}{c}240=\frac{1}{2}×\left(16+8\right)×h\\ 240=\frac{1}{2}×24×h\\ 240=12×h\\ h=\frac{240}{12}\\ =20\end{array}$

Step 4. Conclusion.

Therefore, the required height is 20 m.