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(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.)

Answer :

(a) Side of square = 3 × side

= 3 × \(\frac{1}{2} \)

= 3 / 2 m

Perimeter of Square = 4 × \(\frac{3}{2} \)

= 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.

- Q.1 Find the perimeter of each of the following figures:
- Q.2 The lid of a rectangular box of sides 40 cm by 10 cm is sealed all around with tape. What is the length of the tape required?
- Q.3 A table top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table top?
- Q.4 What is the length of the wooden strip required to frame a photograph of length and breadth 32 cm and 21 cm respectively?
- Q.5 A rectangular piece of land measures 0.7 km by 0.5 km. Each side is to be fenced with 4 rows of wires. What is the length of the wire needed?
- Q.6 Find the perimeter of each of the following shapes: (a) A triangle of sides 3 cm, 4 cm and 5 cm (b) An equilateral triangle of side 9 cm (c) An isosceles triangle with equal sides 8 cm each and third side 6 cm.
- Q.7 Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm.
- Q.8 Find the perimeter of a regular hexagon with each side measuring 8 m.
- Q.9 Find the side of the square whose perimeter is 20 m.
- Q.10 The perimeter of a regular pentagon is 100 cm. How long is its each side?
- Q.11 A piece of strings is 30 cm long. What will be the length of each side if the string is used to form: (a) a square? (b) an equilateral triangle? (c) a regular hexagon?
- Q.12 Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?
- Q.13 Find the cost of fencing a square park of side 250 m at the rate of Rs 20 per metre.
- Q.14 Find the cost of fencing a rectangular park of length 175 cm and breadth 125 m at the rate of ? 12 per metre.
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- Q.16 What is the perimeter of each of the each of the following figures? What do you infer from the the answers?

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