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Question
There is a rectangular lawn 10 m long and 4 m wide in front of Meena’s house (see the figure). It is fenced along the two smaller sides and one longer side leaving a gap of 1 m for the entrance. Find the length of fencing.
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Solution
Given, width of the lawn, AB = EF = 4 m and length of the lawn, BE = 10 m
Also, given length of gap, CD = 1 m
Total length of fencing = AB + (BC + DE) + EF
= AB + (BE – CD) + EF
= 4 m + (10 – 1) m + 4 m
= (4 + 9 + 4) m
= 17 m
Hence, the length of fencing of the lawn is 17 m.
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