Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the unknown base or height of the trapezoid.
$A = 12 {ft}^{2}, b_{1} = 2 ft, b_{2} = \underline{?}, h = 3 ft$

The unknown base is 6 ft.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

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

Step 2. Formula used.

The formula of area of trapezoid is defined as,

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

Step 3. Calculation.

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

$\begin{matrix} 12 = \frac{1}{2} \times (2 + b_{2}) \times 3 \\ 4 = \frac{1}{2} \times (2 + b_{2}) \\ 2 + b_{2} = 8 \\ b_{2} = 8 - 2 \\ = 6 \end{matrix}$

Step 4. Conclusion.

Therefore, the required base is 6 ft.

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Pre-algebra

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Short Answer

Find the unknown base or height of the trapezoid.
$A = 12 {ft}^{2}, b_{1} = 2 ft, b_{2} = \underline{?}, h = 3 ft$

Step by Step Solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Pre-algebra

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Short Answer

Find the unknown base or height of the trapezoid.A=12 ft2,b1=2 ft,b2=?¯,h=3 ft

Step by Step Solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Find the unknown base or height of the trapezoid.
$A = 12 {ft}^{2}, b_{1} = 2 ft, b_{2} = \underline{?}, h = 3 ft$