A rhombus has diagonals in the ratio 3:4. If its area is 216 cm², find the diagonals.
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Correct answer: A
Explanation
Let d1 = 3x, d2 = 4x
Area of the trapezoid = (d₁ × d₂) / 2
216 = (3x × 4x)/2
216 = 12x2 / 2 = 6x2
x2 = 36 ⇒ x = 6
Now the diagonal d1 = 3×6 = 18 cm
d2 = 4×6 = 24 cm