Question

1.The length of a rectangular plot of land is twice its breadth. If the perimeter of the plot is 216 m, find its area.

Answer 1

Step-by-step explanation:

2(2x+x)=216

4x+2x=216

6x=216

x=216/6

x=36

Answer 2

Answer:

Area of the rectangular plot = 2592 m²

Step-by-step explanation:

Given :

Perimeter of the plot = 216 m

Length is twice its Breadth

To find:

The area of the rectangular plot

Concept :

First find the length and Breadth of the rectangular plot . After that find the area of the plot .

Let the length be 2x

Let the Breadth be x

So , to find the length and breadth use this equation -:

$\boxed{\tt{2(2x+x)=216cm}}$

After finding the Breadth multiply it with 2 to find the length.

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

$\boxed{\tt{A=L\times\:B}}$

Where,

A = Area

L = Length

B = Breadth

Solution :

$:\implies\tt{2(2x+x)=216m}$

$:\implies\tt{4x+2x)=216m}$

$:\implies\tt{6x=216m}$

$:\implies\tt{x=\cancel{\dfrac{216m}{6}}}$

$:\implies\tt{x=36m}$

Length -:

$:\implies\tt{36m\times2}$

$:\implies\tt{72m}$

Area of the rectangular plot -:

$:\implies\tt{A=72m\times36m}$

$:\implies\tt{A={2592m}^{2}}$

So , the area of the rectangular plot is 2592m² ...