Find the side of a square whose area is

Solution:

From the question it is given that,

Length of rectangle = 6.4 m

Breadth of rectangle = 2.5 m

Area of rectangle = length × breadth

= 6.4 × 2.5

= 16 m2

And also it’s given in the question i.e. area of square is equal to the area of rectangle.

Let us assume area of square be ‘a’.

Area of square = Area of rectangle

a × a = 16

a2 = 16

By taking square root on both side

a = √16

a = √(4 × 4)

a = √42

a = 4m2

We know that, area of square = side2

4 = side2

By taking square root on both side

side = √4

side = √(2 × 2)

side = √22

side = 2m