Multiple choice

What will be the side of rhombus if its area is 3000 square units and its one diagonal is 50 units ?

  1. $130$
  2. $65$
  3. $78$
  4. $104$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of rhombus = (d1 × d2)/2 where d1, d2 are diagonals. Given area = 3000 and d1 = 50, we get d2 = (2×3000)/50 = 120. Each diagonal divides the rhombus into 4 right triangles with legs (d1/2) = 25 and (d2/2) = 60. The side is the hypotenuse: sqrt(25² + 60²) = sqrt(625 + 3600) = sqrt(4225) = 65 units.

Keep practicing — related questions