The area of a rectangle is 85 square feet. the length is 12 feet longer than the width. find the length and width of the wall

Formula for area of rectangle:

A=L x w

Here A=85 square ft

Length, L=w+12

Put values in formula.

85 = (w+12) w

85=w^2+12w

Subtract 85 from both sides

w^2+12w-85=0

Factorise the equation.

(w-5) (w+17) = 0

w=5 and w=-17

Ignore the negative value of width.

Width, w = 5 ft and Length, L=12+5=17 ft

Answer: Width=5 ft and Length=17 ft