Question

If the ratio of length to breadth of a rectangle is 5:3 and its perimeter is 144m . Find the length and breadth of rectangle

Answer 1

Answer:

Step-by-step explanation:

let it be 5x and 3x

2(5x+3x)=144

so, x=9

length = 5*9=45

breadth= 3*9=27

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Answer 2

Given :

• Ratio of length to breadth of a rectangle is 5:3.
• Perimeter of Rectangle = 144m

To Find :

• Length and Breadth of Rectangle.

Solution :

$\longmapsto\tt{Let\:Length\:be=5x}$

$\longmapsto\tt{Let\:Breadth\:be=3x}$

$\longmapsto\tt{Perimeter=144m}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{144=2(5x+3x)}$

$\longmapsto\tt{\cancel\dfrac{144}{2}=5x+3x}$

$\longmapsto\tt{72=8x}$

$\longmapsto\tt{x=\cancel\dfrac{72}{8}}$

$\longmapsto\tt\bold{x=9}$

So , The value of x is 9..

Therefore :

$\longmapsto\tt{Length=5(9)}$

$\longmapsto\tt\bold{45m}$

$\longmapsto\tt{Breadth=3(9)}$

$\longmapsto\tt\bold{27m}$

_______________________

VERIFICATION :

$\longmapsto\tt{144=2(l+b)}$

$\longmapsto\tt{144=2(45+27)}$

$\longmapsto\tt{144=2(72)}$

$\longmapsto\tt\bold{144=144}$

HENCE VERIFIED