Question

the width of a rectangle is 7 feet less than it's length.if the area of the rectangle is 170 square feet, then find the length and width

Answer 1

let length = x

width is 7 feet less than length

width = x-7

area = length *width

area = x(x-7)

170=x²-7x

x²-7x-170=0

x²-17x+10x-170=0

x(x-17)+10(x-17)=0

(x-17)(x+10)=0

x=17 or x=-10

since length cannot be negative so x=17

and width =x-7 =17-7=10

length =17 feet and width =10 feet