Question

A rectangle is 27 m long and 12 m broad
Find the side of a square whose area is
equal to the area of this rectangle.​

Answer 1

Given :

• Length and Breadth of Rectangle is 27 m and 12 m respectively .

To Find :

• Side of square if Area of Rectangle is equal to the Area of Square .

Solution :

Firstly we will Find Area of Rectangle :

$\longmapsto\tt{Length=27\:m}$

$\longmapsto\tt{Breadth=12\:m}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Rectangle=l\times{b}}$

Putting Values :

$\longmapsto\tt{27\times{12}}$

$\longmapsto\tt\bf{324\:{m}^{2}}$

Area of Rectangle is 324 m² ..

Now ,

As Given that Area of Rectangle is equal to the Area of Square :

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Square={(Side)}^{2}}$

Putting Values :

$\longmapsto\tt{324={(Side)}^{2}}$

$\longmapsto\tt{\sqrt{324}=Side}$

$\longmapsto\tt\bf{18\:m=Side}$

So , The Side of Square is 18 m ..

Answer 2

Step-by-step explanation:

Given:-

in a rectangle

Length=27m

breadth=12m

• The area of rectangle =area of a square

To find:-

The side of the square

Solution:-

As we know that in a rectangle

${\boxed{Area=Length×breadth}}$

• Substitute the values

${:}\longmapsto$$Area=27×12$

${:}\longmapsto$${\boxed {Area=324cm {}^{2}}}$

Let the side of square=a

as we know that in a square

${\boxed{Area=(a){}^{2}}}$

• According to the question

${\boxed{Area\:of\:rectangle=Area\:of\:square}}$

${:}\longmapsto$$(a){}^{2}=324$

${:}\longmapsto$$a={\sqrt {324}}$

${:}\longmapsto$$a=18cm$

$\therefore$${\underline{\boxed{\bf {Side\;of\:the\:square=18cm}}}}$