Question

9. The length and breadth of a rectangular plot are in the ratio of 9:5 and its perimeter is 504 cm. Find the
area of the rectangular plot.
​

Answer 1

Answer:

Area of the rectangular plot = 14580cm²

Step-by-step explanation:

Given :

Length and breadth of the rectangular plot are in ratio = 9:5

Perimeter of the rectangular plot = 504 cm

To find :

The area of the rectangular plot

Concept :

To find the area of the rectangular plot first find the length and breadth of the rectangular plot .

Let the length be 9x

Let the breadth be 5x

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

$\boxed{\sf{2(9x+5x)=504cm}}$

After finding the value of x to find the length multiply the value of x with 9 . And to find the breadth multiply the value of x with 5 .

Now , to find the area of the rectangular plot use this formula -:

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

Where,

A = Area of the rectangular plot

L = Length

B = Breadth

Solution :

$:\implies\sf{2(9x+5x)=504cm}$

$:\implies\sf{2(14x)=504cm}$

$:\implies\sf{28x=504cm}$

$:\implies\sf{x=\cancel{\dfrac{504cm}{28}}}$

$:\implies\sf{x=18cm}$

Value of x is 18 cm .

Length -:

$:\implies\sf{L=18cm\times9}$

$:\implies\sf{L=162cm}$

Breadth -:

$:\implies\sf{B=18cm\times5}$

$:\implies\sf{B=90cm}$

Area of the rectangular plot -:

$:\implies\sf{A=162cm\times90cm}$

$:\implies\sf{A={14580cm}^{2}}$

So , the area of the rectangular plot is 14580cm² .

Answer 2

Answer:

i think...

Step-by-step explanation:

if my answer is incorrect then sorry!