The cost of fencing a square field at 60 paise per metre is Rs. 1200.

1.	The cost of fencing a square field at 60 paise per metre is Rs. 1200. Find the cost of reaping the field at the rate of 50 paise per 100 sq. metres.
Answer» Perimeter of square field = \(\frac{cost\,of\,fencing}{rate\,of\,fencing}\) Perimeter of square field = \(\frac{1200}{0.6}\) = 2000 m Perimeter of square = 4 × side Side of square = \(\frac{perimeter}{4}\) = \(\frac{2000}{4}\) = 500 m Area of square = side² Area of square = 500 × 500 = 250000 m² Cost of reaping = \(\frac{250000\times 0.5}{100}\) = 1250 Cost of reaping is Rs 1250

The cost of fencing a square field at 60 paise per metre is Rs. 1200. Find the cost of reaping the field at the rate of 50 paise per 100 sq. metres.

Answer»

Perimeter of square field = \(\frac{cost\,of\,fencing}{rate\,of\,fencing}\)

Perimeter of square field = \(\frac{1200}{0.6}\) = 2000 m

Perimeter of square = 4 × side

Side of square = \(\frac{perimeter}{4}\) = \(\frac{2000}{4}\) = 500 m

Area of square = side²

Area of square = 500 × 500 = 250000 m²

Cost of reaping = \(\frac{250000\times 0.5}{100}\) = 1250

Cost of reaping is Rs 1250