Avneet buys $$9$$ square paving slabs, each with a side of $$1/2\ m$$. He lays them in the form of a square.
Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement [figure (ii)]?
Avneet buys 9 square paving slabs, each with a side of. He lays them in the form of squares.
(i) What is the perimeter of his arrangement [fig. (i)]?
(ii) Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement [fig. (ii)]?
(iii) Which has a greater perimeter?
Avneet
buys 9 square paving slabs, each with a side of
m.
He lays them in the form of a square.
(a) What is the perimeter of his arrangement [figure (i)]?
(b) Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement [figure (ii)]?
(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.)