SOLUTION: The length of a rectangular solar panel is 11inches shorter than 4 times the width. The perimeter is 198 inches. What are the dimensions of the rectangle?

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Question 798481: The length of a rectangular solar panel is 11inches shorter than 4 times the width. The perimeter is 198 inches. What are the dimensions of the rectangle?
Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
length (L) = 4w - 11
width = w
p = 198
p = 2w + 2L
2w + 2(4w - 11) = 198
2w + 8w - 22 = 198
10w - 22 + 22 = 198 + 22
10w = 220
10w/10 = 220/10
w = 22
check:
2(22) + 2(4(22) - 11) = 198
44 + 2(88 - 11) = 198
44 + 2(77) = 198
44 + 154 = 198
198 = 198