Answer:
A = 112 square feet
Step-by-step explanation:
The perimeter of a rectangular garden is 46 feet.
P = 2(l+b)
46=2(l+b)
23 = (l+b) ....(1)
Let length is l and breadth is b.
The length of the garden is 5 feet less than three times the width.
l = 3b-5 ...(2)
Put equation (2) in equation (1)
23 = (3b-5+b)
23 = 4b - 5
28 = 4b
b = 7 feet
Pu b = 7 in equation (2)
l = 3(7)-5
l = 16feet
Area of a rectangle is given by :
A = lb
A = 16 × 7
= 112 ft²
So, the area of the garden is 112 square feet.
