Question

Find the length of the side of:
i)a square if the perimeter is 32cm
ii)an equilateral triangle if the perimeter is 18cm
iii)a regular pentagon if the perimeter is 45cm.
5) Find the perimeter of

Answer 1

1. Side of square=8 cm
2. Side of an equilateral=6cm
3. Side of a pentagon=9cm.

Answer 2

i) Ans:- 8cm.

ii) Ans:- 6cm.

iii) Ans:- 9cm.

Explanation:

(i) We know that, all the sides of a square are equal.

This implies, a + a + a + a = 32 (where 'a' = side of the square)

or, 4a = 32

or, a = 8cm.

(ii) We know that, all the sides of an equilateral triangle are equal.

This implies, a + a + a = 18 (where 'a' = side of the equilateral triangle)

or, 3a = 18

or, a = 6cm.

(iii) We know that, all the sides of a regular pentagon are equal.

This implies, a + a + a + a + a = 45 (where 'a' = side of the regular pentagon)

or, 5a = 45

or, a = 9cm.