Question 669140: The length of a rectangular banner is 3 feet longer than its width. If the area is 70 square feet, find the dimensions. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The length of a rectangular banner is 3 feet longer than its width. If the area is 70 square feet, find the dimensions.
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Let w = width of banner
then
w+3 = length of banner
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w(w+3) = 70
w^2+3w = 70
w^2+3w-70 = 0
factoring:
(w+10)(w-7) = 0
w = {-10, 7}
throw out the negative solution (extraneous) leaving:
w = 7 feet (width of banner)
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length of banner:
w+3 = 7+3 = 10 feet
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answer: 7 feet by 10 feet
