Question 4 of 21intermediate🔧 ApplyNumerical3 marks

What would be the cost of fencing a rectangular park whose length is 150 m and breadth is 120 m, if the fence costs ₹40 per metre?

Correct Answer

Given: Length = 150 m, Breadth = 120 m, Rate = ₹40 per metre Formula: Perimeter = 2 × (length + breadth) Step 1: Find the perimeter of the rectangular park. Perimeter = 2 × (150 + 120) = 2×2702 \times 270 = 540 m

Step 2: Calculate the cost of fencing. Cost = Perimeter × Rate = 540×40540 \times 40 Answer: The cost of fencing is ₹21,600.

Exercise: Figure it Out (Section 1) | Q: 4 | (Page Page 4)
For More Understanding

Explanation

Fencing requires covering the perimeter of the rectangular park. First calculate the perimeter, then multiply by the cost per metre.

Solution Steps

  1. Step 1: Find the perimeter of the rectangular park = 2 × (length + breadth) = 2 × (150 + 120) = 2×2702 \times 270 = 540 m

  2. Step 2: Cost of fencing = perimeter × rate per metre = 540×40540 \times 40 = ₹21,600