Question

The length of a rectangle is 2 times of its
breadth "the perimeter of rectangle is 48cn

then the length of rectangle us​

Answer 1

Correct Question:

The length of a rectangle is 2 times of its breadth, the perimeter of rectangle is 48cm then the length of rectangle is

Answer :-

• The length of rectangle is 16cm

Step-by-step explanation:

To Find :-

• The length of rectangle

Solution:

Given that,

• The perimeter of rectangle = 48cm
• The length of rectangle is 2 times of it's breadth

$\underline{\sf{Assumption:}}$

Let us assume the breadth of rectangle is "x" and the length of rectangle as "2x",

As we know that,

$\bull \: \: \boxed{\bf{Perimeter \: of \: rectangle = 2 ( l + b )}}$

Where,

• l = Length
• b = Breadth

$\underline{\sf{Therefore,}}$

• 2 ( 2x + x ) = 48cm

$\sf{ \mapsto \: 2 ( 2x + x ) = 48} \\ \\ \\ \sf{ \mapsto \: 2x + x = \dfrac{48}{2}} \\ \\ \\ \sf{ \mapsto \: 2x + x = \cancel{\dfrac{48}{2}}} \\ \\ \\ \sf{ \mapsto \: 2x + x = 24} \\ \\ \\ \sf{ \mapsto \: 3x = 24} \\ \\ \\ \sf{ \mapsto \: x = \dfrac{24}{3}} \\ \\ \\ \sf{ \mapsto \: x = \cancel{\dfrac{24}{3}}} \\ \\ \\ \sf{ \mapsto \: \purple{x = 8}}$

Hence,

$\underline{\sf{ \therefore \: The \: \: value \: \: of \: \: x \: \: is \: \: 8.}}$

Now,

• The length of the rectangle

We assumed the length of rectangle as "2x"

$\sf{ \mapsto \: 2x} \\ \\ \\ \sf{ \mapsto \: (2)(x)} \\ \\ \\ \sf{ \mapsto \: (2)(8)} \\ \\ \\ \sf{ \mapsto \: 2 \times 8} \\ \\ \\ \sf{ \mapsto \: \purple{16cm}}$

Hence,

$\underline{\underline{\sf{\therefore \: The \: \: length \: \: of \: \: rectangle \: \: is \: \: 16cm.}}}$