The perimeter of a rectangular garden is 46 feet. The length of the garden is 5 feet less than three times the width. Find the area of the garden. The area of the garden is square feet.

Answers

Answer 1

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.


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