Question

2. Find the area of a square, if the measure of its each diagonal is 12cm​

Answer 1

Here the value of the diagonal of a square is given to be 12 cm

We have to find the area.

• First of all, we will have to find the length of the side

Let the side length be 'a'

We know the relation between diagonal and side of a square

Diagonal = $\sqrt{2}$ side

12 = $\sqrt{2}$ a

a = $\frac{12}{\sqrt{2} }$

• Area of square = side×side

                       =$\frac{12}{\sqrt{2} } * \frac{12}{\sqrt{2} }$

                       = $\frac{144}{2}$

                       = 72

So, the area of the square will be 72 cm²

Answer 2

Given that:- d = $12cm$

To find- Area of the square,

As the diagonal (d) is given $\frac{d^{2} }{2}$

$=>$ Area $=\frac{(12)^{2} }{2}$

$=>\frac{144}{2}$

$=>72cm^2$

Hence, the area of the square is $72cm^2.$