Question

The length and width

Answer 1

Length is 15 ft and width is 12 ft

Step-by-step explanation:

• Step 1: Given the area of the patio = 180 ft, length = l and width = l - 3. Area = length × width

180 = l (l - 3)

180 = l² - 3l

l² - 3l - 180 = 0

l = (3 ±√9 - 4 × 1 × -180)/2

 = (3 ±√729)/2 = 3 ± 27/2

 = 30/2, -24/2

 = 15, -12 (Negative value is neglected)

∴ Length is 15

∴ Width = l - 3 = 12