Q:

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. Find the width of the rectangle. 6 in. 6.5 in. 7.5 in.

Accepted Solution

A:
Hi there!

Answer: 
The width of the rectangle is 6.5 inches.
The length of the rectangle is 10.5 inches. 

Explanation
Let the width of the rectangle be represented by x.
The length of the rectangle can then be expressed by x + 4

We can find the perimeter of a rectangle using the following formula:
2 * L + 2 * W.

Now we can fill in this formula and set up an equation.
2 * x + 2 * (x + 4) = 34

Work out the parenthesis
2x + 2x + 8 = 34

Collect terms
4x + 8 = 34

Subtract 8
4x = 26

Divide by 4
x = 26 / 4 = 6.5

Therefore, the width of the rectangle is 6.5 inches.
The length of the rectangle is 7.5 + 4 = 10.5 inches.