Question

the length of a rectangle is २ cm more than its breadth if the perimeter of the rectangle is २४ cm find its area
​

Answer 1

Answer:

Given :

$\textsf{Length of the rectangle is 2 cm more than breadth}$

$\textsf{Perimeter of the rectangle = 24 cm}$

To find :

$\textsf{The area of the rectangle}$

Concept :

To find the area of the rectangle first find its Length and Breadth .

So , let the length be x+2cm

And let the breadth be x

And to find the length and breadth use the formula to find the perimeter of the rectangle.

So , the equation will be like this -:

$\sf{2(x+2cm+x)=24cm}$

After that use this formula to find the area of the rectangle -:

$\sf{A=L\:\times\:B}$

Where ,

A = Area

L = Length

B = Breadth

Solution :

First the length and breadth -:

$:\implies\sf{2(x+2cm+x)=24cm}$

$:\implies\sf{2x+4cm+2x=24cm}$

$:\implies\sf{2x+2x+4cm=24cm}$

$:\implies\sf{4x+4cm=24cm}$

$:\implies\sf{4x=24cm-4cm}$

$:\implies\sf{4x=20cm}$

$:\implies\sf{x=\dfrac{20cm}{4}}$

$:\implies\sf{x=5cm}$

So , the breadth is 5cm .

So , Length will be 2cm add of Breadth -:

$:\implies\sf{5cm+2cm}$

$:\implies\sf{7cm}$

So , the length is 7 cm .

Now , find the area -:

$:\implies\sf{A=7cm\times5cm}$

$:\implies\sf{A=35cm}$

So , the area of the rectangle is 35 cm .

Answer :

Area of the rectangle = 35 cm