Question

The area of square field is equal to the area of a rectangular field with sides 24m and 15m. Find the approximate length of the side of the square.​

Answer 1

Answer:

Step-by-step explanation:

Given, area of sq= area of rectangle

Length of rect=24 m

Breadth of rect=15m

Area of rectangle=24×15=360 sq m.

Let length = breadth of square = x

Then area of square = x^2

x^2=360

Therefore x=√360=18.973m=19m

Answer 2

Given :

• Area of a square field is equal to the area of a rectangular field with sides 24m and 15m.

To Find :

• Length of the side of the square.

Solution :

$\longmapsto\tt{Length\:of\:Rectangle=24m}$

$\longmapsto\tt{Breadth\:of\:Rectangle=15m}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{24\times{15}}$

$\longmapsto\tt\bold{360{m}^{2}}$

So , The Area of Rectangular field is 360m²..

Now ,

As Given that Area of a square field is equal to the area of a rectangular field.So,

$\longmapsto\tt{Let\:the\:length\:of\:side=x}$

$\longmapsto\tt\bold{Area\:of\:Rectangle=Area\:of\:Square}$

$\longmapsto\tt{360={x}^{2}}$

$\longmapsto\tt{\sqrt{360}=x}$

$\longmapsto\tt\bold{x=18.97\:(Approx.)}$

So , The length of the side of the square is 18.97.

_______________________

• Area of Rectangle = length×breadth
• Perimeter of Rectangle = 2(l+b)
• Area of Square = (Side)²
• Perimeter of Square = 4×Side

_______________________