Question

15. A wire is in the shape of a regular pentagon of side 12 cm. It is rebent into the
shape of a rectangle whose length is times its breadth. Find the length and the
breadth of the rectangle.
3
2​

Answer 1

Answer:

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Answer 2

Calculate the perimeter of the pentagon,

Consider the perimeter is p.

p = 5 x 12

⇒ p = 60cm

Calculate the length and breadth of the rectangle,

consider 1 = length and b =breadth

perimeter,p

=

60cm

⇒ 60 = 2 × (1 + b)

We know that according to the question,

1 = (3/2) × b

⇒60 = 2 × (1.5b + b)

⇒ 2.56 30 =

⇒b=30/ 2.5

b 12cm

Substituting the value of b in

1 = (3/2) × 12

⇒ 1 = 18cm

The length and breadth of the rectangle are 18 cm and 12 cm respectively.

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