Question

The length and breadth of a rectangular field are in the ratio 4:3, its area is 6912 square meter.find the cost of fencing the field at rs 2.50 per meter.

Answer 1

The answer is Rs.840

Answer 2

The cost of fencing is ₹840.

Given data :

Length : Breadth = 4:3

Area = 6912 m²

Fencing cost = ₹ 2.50/m

The length and breadth are = 4x and 3x (Let x = variable)

Area = 4x × 3x = 12x²

Now,

12x² = 6912

x² = 576

x = 24

Length = 4×24 = 96 m

Breadth = 3×24 = 72 m

Perimeter = {2×(96+72)} = (2×168) = 336 m

1 metre fencing cost = ₹2.50

336 metre fencing cost = 2.50×336 = ₹840 (answer)