2021 · Q64
The area of a rhombus is 336 square cm. If the length of one of its diagonals is 48 cm, then what is the perimeter of the rhombus ?
Elementary MathematicsQuadrilaterals and Polygons
- A200 cm
- B120 cm
- C100 cm
- D90 cm
Explanation
Area = ½·d₁·d₂ = 336 with d₁ = 48 gives d₂ = 14. The diagonals of a rhombus bisect at right angles, so each side is √((48/2)² + (14/2)²) = √(576+49) = 25 cm. The perimeter is 4 × 25 = 100 cm, option (c).