Question

The length of a rectangular plot is twice its breadth.If the perimeter of the plot be
1200m,find its area
​

Answer 1

Question:-

• The length of a rectangular plot is twice its breadth.If the perimeter of the plot be 1200m , find its area.

Given:-

• The length of rectangle plot is twice its breadth.

Solution:-

Let the breadth be " x "

Length is twice its breadth then length is " 2x "

$\tt\implies \: Perimeter = 2( l + b )$

$\tt\implies \: 1200 = 2( 2x + x )$

$\tt\implies \: 1200 = 2( 3x )$

$\tt\implies \: 1200 = 6x$

$\tt\implies \: x = \cancel\dfrac { 1200 } { 6 }$

$\tt\implies \: x = 200$

Hence ,

Length is 2x = 400 m

Breadth is 200 m

Now ,

We have to find the Area:-

$\tt\implies \: Area of rectangle = length \times breadth$

$\tt\implies \: 400 \times 200$

$\tt\implies \: 80000$

Hence ,

Area is $\tt { 80000 m }^{ 2 }$