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Q.8

Expert-verifiedFound in: Page 550

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.**

**$A=12{\text{ft}}^{2},{b}_{1}=2\text{ft},{b}_{2}=\underset{\xaf}{?},h=3\text{ft}$**

The unknown base is **6 ft**.

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

The formula of area of trapezoid is defined as,

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

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

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

Therefore, the required base is 6 ft.

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