Question

If the diagonal of a square is 12√2 cm . Find its area

Answer 1

A = 144 cm²

Explanation:

Let the side of the square be x. Using Pythagoras theorem for square,

`x^2+x^2=(12\sqrt2)^2\\\\2x^2=288\\\\x=12\ cm`

The area of the square is given by :

A = side²

Put values in the formula.

A = 12²

A = 144 cm²

So, the area of the square is equal 144 cm².