The lengths of the diagonals of a rhombus are equal to 3 times and 4 times a certain value. If the area of the rhombus is 216 sq cm, what are the actual lengths of the two diagonals?
Show answer & explanation
Correct answer: A
Explanation
Let both the diagonals be 3x and 4x.
Area of rhombus = (diagonal1 × diagonal2) / 2
216 = (3x × 4x) / 2
216 = 6x²
x² = 36
x = 6
Hence diagonal = 3 × 6 = 18 cm and 4 × 6 = 24 cm