# Math

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A roll of carpet 9 feet wide is 30 feet longer than a roll of carpet 15 feet wide. Both rolls have the same area. Find the dimensions of each.

• Math -

Let the length of the shorter rug be l feet
then the length of the longer rug is l+30 feet
Doesn't it say that
area of shorter = area of longer ?
15l = 9(l+30)
15l = 9l + 270
6l = 270
l = 45
so the two rugs are 15 by 45 and 9 by 75

check: 15x45 = 675
9x75 = 675

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