Question

The length and breadth of a rectangular field are in ratio 3:2. If the area of the field is 3456 sq m. Find the cost of fencing the field at Rs.60 per meter.​

Answer 1

Answer:

₹14400

Step-by-step explanation:

Let us consider the length to be 3x and the breadth to be 2x

Area of rectangle = Length × Breadth

Area = 3456 m²   (Given)

3456 = 3x × 2x

3456 = 6x²

3456 ÷ 6 = x²

√576 = x

x = 24

Length = 3x   ⇒   3 × 24 = 72cm

Breadth = 2x   ⇒   2 × 24 = 48cm

Perimeter = 2(l + b)

P = 2(72 + 48)   ⇒   P = 2(120)

P = 240m

Cost of fencing = Perimeter × Cost per meter

Cost = 240 × 60

Cost = ₹14400

Hope this answer helps you.