Question

Question 24

There is a rectangular lawn 10 m long and 4 m wide in front of meen'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.

Answer 1

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 + 4m = (4 + 9 + 4)m = 17 m

Hence, the length of fencing of the lawn is 17 m.