SOLUTION: 25.) The width of a rectangle is 5 ft. less than the length. The area of the rectangle is 176 ft.2 Find the width and length of the rectangle. Formula: Area = Length Width

Algebra ->  Finance -> SOLUTION: 25.) The width of a rectangle is 5 ft. less than the length. The area of the rectangle is 176 ft.2 Find the width and length of the rectangle. Formula: Area = Length Width       Log On


   

Question 284697: 25.) The width of a rectangle is 5 ft. less than the length. The area of the rectangle is 176 ft.2 Find the width and length of the rectangle. Formula: Area = Length Width

Answer by mananth(16946) About Me  (Show Source):
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The width of a rectangle is 5 ft. less than the length. The area of the rectangle is 176 ft.2 Find the width and length of the rectangle. Formula: Area = Length Width

let the length of the rectangle be x
the width will be 5 less = x-5
The area of a rectanle = L * W
x*(x-5) = 176
x^2-5x-176=0
x^2-16x+11x-176=0
x(x-16)+11(x-16)=0
(x-16)(x+11)=0
x=16 or x= -11
x=16 is positive
so length = 16 feet