If the cost of fencing a rectangular park at the rate of ₹ 30 per metre is ₹ 2400 and the length of the park is 24 m, find the breadth of the park.

Given:

Total cost of fencing = ₹ 2400

Rate of fencing = ₹ 30 per metre

Length of the park = 24 m

Perimeter of rectangular park = $\dfrac{\text{Total cost}}{\text{Rate}}$

= $\dfrac{2400}{30}$

= 80 m

Perimeter of rectangle = 2(length + breadth)

⇒ 80 = 2(24 + breadth)

⇒ $\dfrac{80}{2}$ = 24 + breadth

⇒ 40 = 24 + breadth

⇒ breadth = 40 - 24

⇒ breadth = 16 m

Hence, the breadth of the park is 16 m.