NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Problems and Solutions
Question 32

Question. 32

The lawn in front of Molly’s house is 12 m × 8 m, whereas the lawn in front of Dolly’s house is 15 m × 5 m. A bamboo fencing is built around both the lawns. How much fencing is required for both?

Answer:

Total fencing required = 80 m

Detailed Answer with Explanation:

Idea: Fencing around a lawn means we need the perimeter of the rectangle.

Formula for perimeter of a rectangle:
\( P = 2\times (\text{length} + \text{breadth}) \)

1) Molly’s lawn
Length \(= 12\,\text{m}\)
Breadth \(= 8\,\text{m}\)
First add: \( 12 + 8 = 20 \)
Now double it: \( 2 \times 20 = 40 \)
So, Molly’s perimeter \(= 40\,\text{m}\).

2) Dolly’s lawn
Length \(= 15\,\text{m}\)
Breadth \(= 5\,\text{m}\)
First add: \( 15 + 5 = 20 \)
Now double it: \( 2 \times 20 = 40 \)
So, Dolly’s perimeter \(= 40\,\text{m}\).

3) Total fencing for both lawns
Add both perimeters: \( 40 + 40 = 80 \)
Answer: \( 80\,\text{m} \) of fencing is required.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 6: Mensuration – Problems and Solutions | Detailed Answers