Answer:
The width of the rectangle is 9
Explanation:
l + l + w + w = perimeter
(x - 8) + (x - 8) + (x) + (x) = 52
We don't know the length so put it as a variable
x + x + x + x - 8 - 8 = 52 Group together like-terms.
4x - 16 = 52 Combine like-terms
4x = 68 Add 16 to both sides
x = 17 Divide both sides by 4
We now have the value for the length (x = 17) however we need the value for the width. Just subtract 17 - 8 since the width is 8 in. less than its length.
17 + 17 + 9 + 9 = 52