Question

the length and breadth of a rectangular field are in ratio 7:5 and its perimeter is 384 . Find the cost of reaping the field at rupees 1.25 per sq. metre.​

Answer 1

Length of field = 7x

Breadth of field = 5x

Perimeter = 384 m

Perimeter of rectangle = 2(Length + Breadth)

384 = 2(7x + 5x)

384/2 = 12x

192 = 12x

x = 16

Length of field = 7x = 7(16) = 112 m

Breadth of field = 5x = 5(16) = 80 m

Area of rectangular field = L × B

Area = 112 × 80 = 8,960 m²

1 sq. m = ₹ 1.25

8960 sq. m = ₹ (1.25 × 8960) = ₹ 11,200