The area of a rhombus is 300 cm2. If the length of one of the diagonals of the rhombus is 30 cm, then what is the length (in cm) of the second diagonal?
Answer & explanation
Correct answer: option 3
We know that,
The area of a rhombus = \(\frac{1}{2}\) × (diagonal)1 × (diagonal)2
We have,
The area of rhombus = 300 cm2
The length of one of the diagonals of the rhombus = 30 cm
So,
= 300 = \(\frac{1}{2}\) × 30 × (diagonal)2
= (Diagonal)2 = \(\frac{300}{12}\) = 20 cm