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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? - Mathematics

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Question

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?

Sum

Solution

In order to find the total length of fencing around both the gardens, we will calculate the perimeter of both the gardens and then add them.

Given, size of lawn in front of Molly’s house = 12 m × 8 m Perimeter = 2(Length + Breadth)

= 2(12 + 8) m = 40 m  ......(i)

Now, size of lawn in front of Dolly’s house = 15 m × 5 m

Perimeter = 2(15 + 5) m = 40 m …. (ii)

From equations. (i) and (ii), we get total length = 40 + 40 = 80 m

Hence, total length of bamboo fencing is 80 m.

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Chapter 6: Mensuration - Exercise [Page 98]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 6 Mensuration
Exercise | Q 32 | Page 98

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