Question

Question 121

Solve the following question:

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

Answer 1

Given dimensions of a rectangle are 6.4 m and 2.5 m.
Area of rectangle = Length $\times$ Breadth = 6.4 $\times$ 2.5 = $16m^2$
Let the side of square be $x$ m
According to the question,
Area of square = Area of rectangle.
$\Rightarrow x^2=16$
$\Rightarrow x=\sqrt{16}$
$\Rightarrow x=\sqrt{4\times 4}\therefore x=4m$
Hence, the side of a square is 4 m.