SOLUTION: A rectangular lot is four times as long as it is wide. It's perimeter is 100m. Find its length.

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Question 724034: A rectangular lot is four times as long as it is wide. It's perimeter is 100m. Find its length.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = width
4x = length {it is four times as long as it is wide}

Perimeter of a rectangle = 2(width) + 2(length)

2(x) + 2(4x) = 100 {substituted into perimeter formula}
2x + 8x = 100 {multiplied}
10x = 100 {combined like terms}
x = 10 {divided each side by 10}
4x = 40 {substituted 10, in for x, into 4x}

length = 40 m

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