You are knitting a blanket. You want the area of the blanket to be 24 ft². You want the length of the blanket to be 2 feet longer than its width. what should the dimensions of the blanket be?

Question

Mathematics

Calderon

2 April, 07:52

You are knitting a blanket. You want the area of the blanket to be 24 ft². You want the length of the blanket to be 2 feet longer than its width. what should the dimensions of the blanket be?

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Answers (1)

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Oliver Moran · Answer 1

With the facts you got here, you can make the following equation:

x * (x+2) = 24

x^2+2x=24

x^2+2x-24=0

Then you can use the following formula (which you might have seen before):

x = (-b + / - sqrt (b^2-4ac)) / 2a

where

ax^2+bx+c=0

(-2 + / - sqrt (4+96)) / 2

(-2 + / - 10) / 2

x_1 = 4

x_2 = - 6