Question

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

Answer 1

length=8+w........1

area=84square feet........2

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