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
Answer (1)
4th Jan, 2024
Correct Answer: 7 : 20
Solution :
Let the diagonals of the rhombus are
So, the area of the rhombus =
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 =
Required ratio =
=
Hence, the correct answer is 7 : 20.
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