Calculate the area of a rhombus with each side measuring 25 cm and one diagonal equal to 30 cm.

Explanation

Given a rhombus with side length 25 cm and one diagonal 30 cm, use the Pythagorean theorem to find the other diagonal. Half of the known diagonal is 15 cm. Using the right triangle formed, the other half diagonal is √(25² - 15²) = √(625 - 225) = √400 = 20 cm. Therefore, the full other diagonal is 40 cm. The area of a rhombus is half the product of its diagonals: (1/2) × 30 × 40 = 600 square centimeters.