Question

Calculate the cost of fencing a plot of land shown below at a rate of ₹5 per metre.

[2 marks]

Answer 1

Solution:


Perimeter is the length of the boundary of a 2D shape.
$\Rightarrow$ Perimeter of the given land = AB + BC + CD + DE + EF + FA

From the figure:
CD = 9 m − 7 m = 2 m
DE = 9 m − 3 m = 6 m

Now perimeter of the given land = 9 m + 3 m + 2 m + 6 m + 7 m + 9 m = 36 m

[1 mark]

Cost of fencing 1 m = ₹5
Therefore, cost of fencing the given land = 36 $\times$ 5 = ₹180

[1 mark]