Question

The length of a rectangle is thrice of its breadth. If its perimeter is 48 cm, find the dimensions of the rectangle.​

Answer 1

Answer:

Length is 18cm and breadth is 6cm.

Please find the attached image for

Step-by-step explanation:

Answer 2

Given :

• Length of rectangle is thrice of its breadth.
• Perimeter of Rectangle is 48cm.

To Find :

• Dimensions of Rectangle.

Solution :

$\longmapsto\tt{Let\:breadth\:be=x}$

If length of the rectangle is thrice of its breadth .So ,

$\longmapsto\tt{Length=3x}$

Using Formula :

$\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}$

Putting Values :

$\longmapsto\tt{48=2(3x+x)}$

$\longmapsto\tt{\cancel\dfrac{48}{2}=4x}$

$\longmapsto\tt{24=4x}$

$\longmapsto\tt{x=\cancel\dfrac{24}{4}}$

$\longmapsto\tt\bold{x=6}$

Therefore :

$\longmapsto\tt{Length=3(6)}$

$\longmapsto\tt\bold{18cm}$

$\longmapsto\tt\bold{Breadth=6cm}$

_______________________

VERIFICATION :

$\longmapsto\tt{48=2(l+b)}$

$\longmapsto\tt{48=2(18+6)}$

$\longmapsto\tt{48=2(24)}$

$\longmapsto\tt\bold{48=48}$

HENCE VERIFIED