Question

The perimeter of a rectangle is 180cm. If its length is decreased by 10% and the breadth is increased by 20%, we get the same perimeter. Find the length and breadth of the rectangle?​

Answer 1

Answer:

check out the image for answer

Answer 2

$\underbrace{ \boxed{ \tt \pink S \gray ol \blue ut \red io \purple n}}$

Let the width of the rectangle be x.

It is given that the length of the rectangle is twice its width, so the length is 2x.

Now,

We know that the perimeter of a rectangle is twice the sum of its length and width.

The perimeter is given as 180 cm.

So, Perimeter of rectangle = 2(L+B)

$\implies \red{ \tt 180cm = 2(2 x+ x)}$

$\implies \blue{ \tt 180cm = 4 x+ 2x}$

$\implies \purple{ \tt 180cm = 6x}$

$\implies \pink{ \tt \frac{ \cancel{180}}{ \cancel6} = x}$

$\implies \gray{ \tt x = 30cm}$

$\tt So, the \: width \: of \: rectangle \: is \\ \tt x = 30cm \: and \: the \: length \: of \: rectangle \\ \tt is \: 2x = 2 \times 30 = 60cm.$

$\huge \tt Hence, \: dimensions \\ \huge \tt of \: rectangle \: is \\ \huge \boxed{ \tt30 \times 60}$