2022 · Q86
The area of a rhombus is 96 square cm and one of its diagonals is of length 12 cm. What is the perimeter of the rhombus?
Elementary MathematicsQuadrilaterals and Polygons
- A36 cm
- B40 cm
- C44 cm
- D48 cm
Explanation
d₂ = 2×96/12 = 16; side = √(6²+8²) = 10; perimeter = 40 cm. The diagonals of a rhombus bisect each other at right angles, so each side is the hypotenuse of a 6–8–10 triangle. The keyed option is B.