Question 78
One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square whose side is same as the length of the larger diagonal?
Solution
Let larger diagonal of the rhombus = side of square = $$10x$$
=> Smaller diagonal = $$\frac{70}{100}\times10x=7x$$
=> Ratio of area of rhombus to area of square
= $$\frac{\frac{1}{2}d_1d_2}{a^2}$$
= $$\frac{1}{2}\times(\frac{10x\times7x}{10x\times10x})$$
= $$\frac{1}{2}\times\frac{7}{10}=\frac{7}{20}$$
=> Ans - (C)
Get AI Help
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
