Question

the length of a rectangal is 36cm and breadth is 25cm. find the side of a square which has a same area of the above described rectangle​

Answer 1

Question:-

the length of a rectangal is 36cm and breadth is 25cm. find the side of a square which has a same area of the above described rectangle

Answer:-

• The side of square is 30 cm

To find:-

• Side of square

Solution:-

• Length = 36 cm
• Breadth = 25 cm

Firstly, we have to find the area of rectangle

$\large{ \boxed{ \green{ \mathfrak{area = l \times b}}}}$

where,

• l = length of Rectangle
• b = breadth of rectangle

$\large{ \tt : \implies \: \: \: \: area = 25 \times 36}$

$\large{ \tt : \implies \: \: \: \: area = 900 \: {cm}^{2} }$

• The area of rectangle is 900 cm²

As we know,

• Area of rectangle = Area of square
• Area of square = 900 cm²

Now,we have to find the side of square.

$\large{ \boxed{ \green{ \mathfrak{ area = {a}^{2} }}}}$

Where,

• a = side of square

According to question,

$\large{ \tt : \implies \: \: \: \: {a}^{2} = 900}$

$\large{ \tt : \implies \: \: \: \: a = \sqrt{900} }$

$\large{ \tt : \implies \: \: \: \: a = 30}$

Hence,

The side of square is 30 cm

Answer 2

Answer :

The side of the square = 30 cm

Step-by-step explanation :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 36 cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 25 cm}\end{picture}$

The length of the rectangle = 36 cm

The breadth of the rectangle = 25 cm

we know that,

Area of the rectangle = length × breadth

Area of the rectangle

= (36 cm) × (25 cm)

= 900 cm²

we have to find the side of a square with the same area.

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(1.5,-0.6){\bf\large a\ cm}\put(4.4,2){\bf\large a\ cm}\end{picture}$

Area of the square = 900 cm²

Let the side of the square be "a cm"

We know that,

Area of the square = (side) × (side)

     900 cm² = a × a

      a² = 900

      a = √900

      a =  √30²

      a = 30 cm

The side of the square = 30 cm