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Expert-verified Found in: Page 127 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Geometry Find the value of x for the given triangle, rectangle or square.Perimeter = 32 units The value of x is 2.

See the step by step solution

## Step 1. Given

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

## 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 $2\left[x+\left(2x+10\right)\right]=40$

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

Hence, the required value of x is 2. ### Want to see more solutions like these? 