Question

the perimetre of a rectangle is 70 cm if the length of rectangle is 25 cm, find the area
step by step explanation
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Answer 1

Answer:

perimeter=70 cm

leangth=25 cm

breadth=perimeter/leangth

so breadth= 70/25

                  =2.8 cm answer

Answer 2

Answer:

Given :

$\textsf{Perimeter of the rectangle = 70 cm}$

$\textsf{Length of rectangle = 25 cm }$

To find :

$\textsf{The area of the rectangle }$

Concept :

To find the area of the rectangle . First find the Breadth of the rectangle.

So , Let the Breadth of the rectangle be x .

To find Breadth use the formula to find the perimeter of the rectangle. So , the equation will like this-:

$\sf\boxed{2(25\:cm+x)=70\:cm}$

After that to find the area of the rectangle use this formula .

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

Where ,

A = Area of the rectangle

L = Length

B = Breadth

Solution :

First , Breadth :

$\sf\implies{2(25\:cm+x)=70\:cm}$

Used cross multiplication

$\sf\implies{50 \:cm+2x=70\:cm}$

$\sf\implies{2x=70\:cm-50\:cm}$

$\sf\implies{2x=20\:cm}$

$\sf\implies{x=\dfrac{20\:cm}{2}}$

$\sf\implies{x=10\:cm}$

So , the Breadth of the rectangle is 10 cm .

Now , area of the rectangle :

$\sf\implies{A=25\:cm\times10\:cm}$

$\sf\implies{A=250\:cm}$

So , the area of the rectangle is 250 cm .

Answer :

Area of the rectangle = 250 cm