The area of a rectangular wall of a barn is 260 square feet. it's length is 6 feel longer than twice it's width. find the length and width of the wall of the barn

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Mathematics

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19 April, 15:02

The area of a rectangular wall of a barn is 260 square feet. it's length is 6 feel longer than twice it's width. find the length and width of the wall of the barn

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Jasiah Jensen · Answer 1

L=2w+6

260=lw

Substitute for l

260=w (2w+6)

260 = 2w^2+6w

2w^2+6w-260=0

2 (w^2+3w-130)

2 (w+13) (w-10)

w=-13, w=10

Since width cannot be negative it must be 10

260=l (10)

26=l

Final answer: length-26 ft, width-10ft