Question

if the length of a rectangle is 4cm more than its breadth and if the perimeter of the rectangle is 28cm,find its area
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Answer 1

I hope this helped you a lot

Answer 2

Given :

• Length of rectangle is 4cm more than its breadth.
• Perimeter of Rectangle is 28cm.

To Find :

• Area of Rectangle.

Solution :

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

If length of rectangle is 4cm more than its breadth.So ,

$\longmapsto\tt{Length=x+4}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{28=2(x+4+x)}$

$\longmapsto\tt{\cancel\dfrac{28}{2}=2x+4}$

$\longmapsto\tt{14-4=2x}$

$\longmapsto\tt{10=2x}$

$\longmapsto\tt{x=\cancel\dfrac{10}{2}}$

$\longmapsto\tt\bold{x=5}$

So , The value of x is 5..

Therefore :

$\longmapsto\tt{Length=5+4}$

$\longmapsto\tt\bold{9cm}$

$\longmapsto\tt\bold{Breadth=5cm}$

Now :

$\longmapsto\tt{Length=9cm}$

$\longmapsto\tt{Breadth=5cm}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Rectangle=length\times{breadth}}$

Putting Values :

$\longmapsto\tt{9\times{5}}$

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

So , The area of rectangle is 45cm..