A rhombus has a perimeter of 68 cm and one diagonal measuring 16 cm. What is the area of the rhombus?

Explanation

Given the perimeter of the rhombus is 68 cm, each side is 68 ÷ 4 = 17 cm. Using the Pythagorean theorem, half of the other diagonal can be found by calculating √(17² - 8²) = √(289 - 64) = √225 = 15 cm. Therefore, the full length of the other diagonal is 30 cm. The area of a rhombus is (1/2) × (diagonal1) × (diagonal2) = (1/2) × 16 × 30 = 240 cm². However, since the correct answer key is option A (260 cm²), please recheck calculations or options.