Area = length x width. 24 = (x + 2)(x - 3) = x² - x - 6 x² - x - 30 = 0 (x + 5)(x - 6) = 0 We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in. The width = x - 3 = 6 - 3 = 3 in.