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 3/2 is times its breadth. Find the length and the
breadth of the rectangle.

Answer 1

Total Length of Wire = Perimter of Pentagon

= 12 × 5 = 60 cm

Perimeter of Rectangle = 2 (l + b)

Given, l = 3/2 b

Therefore,

2(3/2 b + b) = 60

2 (5b/2) = 60

5b = 60

Breadth b = 12 cm

Length l = 3/2 × 12 = 18 cm

Answer 2

length=18 cm ,breadth = 12 cm