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Question : One of the diagonals of a rhombus is 70 percent of the other diagonal. What is the ratio of the area of the rhombus to the square of the length of the larger diagonal?

Option 1: 5 : 17

Option 2: 7 : 20

Option 3: 6 : 19

Option 4: 20 : 7


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 4th Jan, 2024

Correct Answer: 7 : 20


Solution : Let the diagonals of the rhombus are
$d_1=x$ and $d_2=0.7x$
So, the area of the rhombus = $\frac{1}{2}​× x× 0.7x$
Now, let's find the ratio of the area of the rhombus to the square of the length of the larger diagonal:
Area of square = $x^2$
Required ratio = $\frac{\frac{1}{2}​× x× 0.7x}{x^2}$
=$\frac{7}{20}$
Hence, the correct answer is 7 : 20.

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