Question

The rectangular floor of a storage shed has an area of 546 square feet. The length of the floor is 5 feet more than its width (see figure). Find the dimensions of the floor.

Answer 1

Answer:

Length = 26 ft, Width = 21 feet

Step-by-step explanation:

Area of the rectangular floor is Width(W) x Length(L).  Area = 546 ft^2

L = W + 5

Area = W*L

546 ft^2 = W*(W+5)

W^2 + 5W - 546 = 0

W = 21 (and - 26)  ft

If W = 21 ft, L is 26 ft

(21 ft)*(26 ft) = 546 ft^2