Question 17Avneet buys 9 square paving slabs each with
Question 17
Avneet buys 9 square paving slabs, each with a side 12 m. He lays them in the form of a square.
(a) What is the perimeter of his arrangement?
(b) Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement?
(c) Which has greater perimeter?
(d) Avneet wonders, if there is a way of getting an even greater perimeter. Can you find a way of doing this? (The paving slabs must meet along complete edges, i.e., they cannot be broken.)
Please scroll down to see the correct answer and solution guide.
Right Answer is:
SOLUTION
(a) Perimeter of the square = 4 × side.
Length of the side of the square = 3 square slabs ×length of each side
= 3 × 0.5 m = 1.5 m [∵each side=12 m ]
Perimeter of Avneet's arrangement = 4 × 1.5 m = 6 m
(b) Consider the figure 
Perimeter of the figure = 5 × length of each side = 5 × 0.5 m = 2.5 m [∵each side=12 m ]
Perimeter of the cross = 4 × figure = 4 × 2.5 m = 10 m
(c) Shari's arrangement (cross) has greater perimeter.
(d) No, but we can achieve the same perimeter as Shari's arrangement by arranging all the squares in a row.
