A rhombus has an area of 144 square centimeters, and one diagonal is twice the length of the other. What are the lengths of the diagonals?

Explanation

Let the shorter diagonal be x cm, then the longer diagonal is 2x cm. The area of a rhombus is half the product of its diagonals: (1/2) × x × 2x = x². Given the area is 144, we have x² = 144, so x = 12 cm. Therefore, the diagonals are 12 cm and 24 cm.