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

Geometry Find the value of x for the given triangle, rectangle or square.
Perimeter = 32 units

The value of x is 2.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given

Perimeter = 32 units, length is x unit and width is $2 x + 10$ .

Step 2. To determine

We have to find the value of the x for the given rectangle.

Step 3. Calculation

The equation of the perimeter will be $2 [x + (2 x + 10)] = 40$

$\begin{array}{l} 2 [x + (2 x + 10)] = 32 \\ 2 [x + 2 x + 10] = 32 [combine like terms] \\ 2 (3 x + 10) = 32 [distributive property] \\ 6 x + 20 = 32 \\ 6 x + 20 - 20 = 32 - 20 [subtract 20 from each side] \\ 6 x = 12 \\ 6 x \div 6 = 12 \div 6 [divide each side by 6] \\ x = 2 \end{array}$

Hence, the required value of x is 2.

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Pre-algebra

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Geometry Find the value of x for the given triangle, rectangle or square.
Perimeter = 32 units

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Step 2. To determine

Step 3. Calculation

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Geometry Find the value of x for the given triangle, rectangle or square.
Perimeter = 32 units