A rectangular room holds a rectangular carpet in the center of measuring 8m by 16m.. The width form the edge of the carpet to each wall is the same. The area not covered by the carpet is 112m. What is the width of the uncovered area around the carpet?

Answer 1

(8 + 2w) (16 + 2w) = (8 * 16) + 112

dividing by 4 ... (4 + w)(8 + w) = (4*8) + 28

w^2 + 12w + 32 = 60 ... w^2 + 12w - 28 = 0