Question

Avneet buys \(9\) square paving slabs, each with a side of \(\frac{1}{ 2}\) m. He lays them in the form of a square. 

1. What is the perimeter of his arrangement 
2.  Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement ? 
3.  Which has greater perimeter? 
4.  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.)

Answer 1

(a) \(6\) \(m\) 
(b) \(10\) \(m\) 
(c) Second arrangement has greater perimeter. 
(d) Yes, if all the squares are arranged in row, the perimeter be \(10 \) \(cm\).