The length of a rectangle is 8 feet more its width. the area of the rectangle is 84 square feet find its length and width

length=8+w1

area=84square feet2

area of rectangle =length x width

area=(8+w)x W

area=8w+w^2

84=8w+w^2

w^2+8w+(4^2)=84+(4^2)

(w+4)^2=84+16

(w+4)^2=100

√(w+4)^2=√100

w+4=±100

w+4=100 or w+4=-100

w=96 or w=-104

the answer is 96

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