Shari does not like his arrangement.She gets him to lay them out like a cross .What is the perimeter of her arrangement ( Fig 10.7 (ii)
Answers
Answer:
17. Avneet buys 9 square paving slabs, each with a side of 1 / 2 m. He lays them in the form of
a square.
(a) What is the perimeter of his arrangement [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 [(Fig 10.7 (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.)
Solutions:
(a) Side of square = 3 × side
= 3 × 1 / 2
= 3 / 2 m 0r 1.5m
Perimeter of Square = 4 × 3 / 2
= 2 × 3
= 6 m
(b) Perimeter = 0.5 + 1 + 1 + 0.5 + 1 + 1 + 0.5 + 1 + 1 + 0.5 + 1 + 1
= 10 m
(c) The arrangement in the form of cross has greater perimeter
(d) Perimeters greater than 10 m cannot be determined.
Hope it helps
Answer:
17.a)ans:Consider 1 slab =1unit
equal side = 3 unit
thus, perimeter= (4 × 3)unit
=12 unit
Given that,
each side of slab=1/2 unit
therefore,1 unit = 1/2 m
thus, perimeter=(12×1/2)m
= 6m