Question

The perimeter of a rectangle with
length 36 cm is 100 cm. If each of
its side is halved, what will be the
new perimeter?​

Answer 1

Given,

Perimeter of rectangle is 100 cm

length is 36cm

First we will find the breadth of the Rectangle.

$perimeter \: of \: a \: rectangle = 2(l + b) \\ = > 100cm = 2(36cm + b) \\ = > \frac{100}{2} cm = 36cm + b \\ = > 50cm = 36 cm+ b \\ = > 50cm - 36cm = b \\ = > 14cm = b$

So, we found breadth= 14cm

Given in the Question, if each of the side is halved,what would be the new perimeter?

$new \: length = \frac{orignal \: length}{2}$

$new \: length = \frac{orignal \: length}{2} \\ \\ new \: length = \frac{36cm}{2} = 18cm$

$new \: breadth = \frac{orignal \: breadth}{2} \\ \\ new \: breadth = \frac{14cm}{2} = 7cm$

$new \: perimeter \: of \: a \: rectangle = 2(l + b) \\ = > perimeter = 2(18cm + 7cm) \\ = >perimeter = 2(25cm)\\ = >perimeter= 50cm$

•Final Answer:-50cm