Question

A piece of string is 36cm long. The length of each side if the string is used to form a

square and an equilateral triangle. The ratio of sides of square and equilateral triangle is

a) 3:9 b) 9:15 c) 3:4 d) 6:4​

Answer 1

Answer:

Length of string = Perimeter of each figure

(a) Perimeter of square = 30 cm

\Rightarrow4\times side\ =\ 30⇒4×side = 30

Side = \frac{30}{4}

4

30

Side = 7.5 cm.

(b) Perimeter of equilateral triangle = 30 cm

3\times Side=303×Side=30

Side = \frac{30}{3}=10

3

30

=10 cm.

Thus, the length of each side of equilateral triangle is 10 cm.

(c) Perimeter of hexagon = 30 cm

\Rightarrow\ 6\times Side\ =\ 30⇒ 6×Side = 30

Side = \frac{30}{6}=5

6

30

=5 cm.

Thus, the length of each side of hexagon is 5 cm.