2020 · Q69
The diagonals of a rhombus differ by 2 units and its perimeter exceeds the sum of the diagonals by 6 units. What is the area of the rhombus?
Elementary MathematicsQuadrilaterals and Polygons
- A48 square units
- B36 square units
- C24 square units
- D12 square units
Explanation
Let the diagonals be d and d+2. The perimeter condition gives 2*sqrt(2d^2+4d+4) = 2d+8, so d = 6; diagonals 6 and 8. Area = (6*8)/2 = 24 square units - option (C).