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 $10$ $cm$.