The perimeter of a rhombus is 40 cm and one of its diagonals is 12 cm. Find the area of the rhombus.

Explanation

Side of rhombus = 40 / 4 = 10 cm. Half of diagonal d1/2 = 6 cm. Half of second diagonal d2/2 = Sqrt(10^2 – 6^2) = 8 cm => d2 = 16 cm. Area = 0.5 * d1 * d2 = 0.5 * 12 * 16 = 96 cm².