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

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Q1

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.)

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Q2

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.)

View Solution
Q3

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

(a) What is the perimeter of his arrangement $ \text{[fig 10.7(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 $ \text{[(Fig 10.7 (ii)]}$?

(c) Which has a 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.)


(i) (ii)
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Q4
Avneet buys 9 square paving slabs, each with a side of 12m. He lays them in the form of a square.
What is the perimeter of his arrangement.
View Solution
Q5

Avneet buys 9 square paving slabs, each with a side of12m. 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?


View Solution