The area of the square is equal to the area of a rhombus with a side of 6 cm and a height of 3 cm.

The area of the square is equal to the area of a rhombus with a side of 6 cm and a height of 3 cm. Find the diagonal of the square.

The area of a rhombus s is equal to the product of the length of one of the sides a by the height h:
s = ah = 6 * 3 = 18 cm ^ 2.
A square is also a rhombus, and its area can be found as half the product of its diagonals d:
s = (d * d) / 2 = 18 cm ^ 2;
d ^ 2 = 36 cm ^ 2.
Positive root of the equation:
d = √ (36 cm ^ 2) = 6 cm.
Answer: 6 cm.