SOLUTION: The length of a rectangle is 8 inches greater than it' width. Find the width of a rectangle if it's area is 105 square feet.

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Question 750883: The length of a rectangle is 8 inches greater than it' width. Find the width of a rectangle if it's area is 105 square feet.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A = LW

105 = (x+8)(x)

105 = x^2 + 8x

x^2 + 8x = 105

x^2 + 8x - 105 = 0

(x + 15)(x - 7) = 0

x + 15 = 0 or x - 7 = 0

x = -15 or x = 7

Toss out x = -15

So the only solution that makes sense is x = 7

Width: 7

Length: 15