Question:
Find the side of a square whose area is equal to the area of a rectangle with sides 6.4m and 2.5m.
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