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

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 $14 {feet}^{2}$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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,

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

Step 3. Calculation.

Find the both base by using height.

$\begin{matrix} b_{1} = 3 \times height \\ = 3 (2) \\ = 6 feet \end{matrix}$

And,

$\begin{matrix} b_{2} = 4 \times height \\ = 4 (2) \\ = 8 feet \end{matrix}$

Substitute the values in the area formula.

$\begin{matrix} Area = \frac{1}{2} (6 + 8) \times 2 \\ = \frac{1}{2} \times 14 \times 2 \\ = 14 {feet}^{2} \end{matrix}$

Step 4. Conclusion.

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

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Pre-algebra

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Short Answer

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.

Step by Step Solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Short Answer

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.

Step by Step Solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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