# If the area of a square is 12cm^2 what is the product of its diagonals?

##### 1 Answer

Jun 25, 2015

#### Answer:

The product of the diagonals of a square with area

#### Explanation:

If the area of a square is 12

each side has a length of

The product of the diagonals is the same as the square of a diagonal (since the diagonals of a square are equal in length).

By the Pythagorean Theorem:

the square of a diagonal = sum of the squares of the two sides