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.

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 + 4 m

= (4 + 9 + 4) m

= 17 m

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