One diagonal of a rhombus is 60 of the other diagonal Then the area of the rhombus is how many times...........

Quantitative Aptitude ( CCS) Mensuration 2D

One diagonal of a rhombus is 60% of the other diagonal. Then, the area of the rhombus is how many times the square of the length of the larger diagonal?

1/5

4/5

3/5

3/10

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Explanation:

Let the length of the other diagonal is 10.
As per the information,
The first diagonal = 60% of 10 = 6
? Area of rhombus
= 1/2 × Product of diagonals
= 1/2 x × 10 × 6 = 30 unit²
Now, square of the larger diagonal
= 10² = 100 unit²
The required fraction = 30/100 = 3/10
Therefore, the area of the rhombus is 3/10 times of longer diagonal.