Length is 15 ft and width is 12 ft
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