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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 10: Q.2 (page 550)

The height of a parallelogram is 22 inches. The base is one half of the height. Find the area of the parallelogram.

Short Answer

Expert verified

The area of the parallelogram is $242 {inches}^{2}$ .

Step by step solution

01

Step 1. Given Information.

The height of the parallelogram is 22 inches and the base is one half of the height.

02

Step 2. Formula used.

The area of the parallelogram is defined as,

$Area = Base \times Height$

03

Step 3. Calculation.

First calculate the base by using the height.

$\begin{matrix} Base = \frac{Height}{2} \\ = \frac{22}{2} \\ = 11 inches \end{matrix}$

Now, find the area of parallelogram.

$\begin{matrix} Area = Base \times Height \\ = 11 \times 22 \\ = 242 {inches}^{2} \end{matrix}$

Thus, the area is ${242 inches}^{2}$ .

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