A rhombus has each side measuring 26 meters, and one of its diagonals is 20 meters long. What is the area of this rhombus?

Explanation

Using the Pythagorean theorem, the length of the other diagonal is calculated as follows: (26)^2 - (10)^2 = 676 - 100 = 576, so the half of the other diagonal is 24 meters, making the full diagonal 48 meters. The area of a rhombus is half the product of its diagonals: (1/2) × 20 × 48 = 480 square meters.