i need to find the length of rectangle

Question

A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 35 square feet. Find the length of the rectangle.

Answer 1

W = L - 2 ft

 

A = 35 ft^2

 

A = LW = L(L-2) = 35

 

L² - 2L - 35 = 0

 

(L - 7)(L + 5) = 0

 

L = 7 or -5, but L must be positive, so only L = 7 is a valid solution.

 

L = 7 ft

W = (7-2) ft = 5 ft