Question

The length of a rectangular storage room is 5 feet longer than it’s width. If the area of the room is 66 square feet, find the dimension.

Answer 1

Answer: 11 ft × 6 ft

Step-by-step explanation: l = w+5. Substitute that value in A = lw and rewrite the equation.

w(w + 5) = 66

w^2 + 5w - 66 = 0 Factor that.

(w -6)(w + 11) =0. Solve for w.

w -6= 0, w = 6 but discard the other -11 as dimensions of real polygons can't be negative

L = w + 5 so L = 6+5

So L=11