Question

If a square and a rhombus stand on the same base, and in between same parallel lines then the ratio of the areas of the square and the rhombus is

• A. equal to $\frac{1}{4}$
• B. equal to $\frac{1}{2}$
• C. equal to $1$
• D. greater than $1$

Answer 1

Answer: (D)

greater than $1$

area of square $=a^{\wedge 2}=a^2$

"rombus $=a^2\sin A$

So its ratio will become

$\frac{areaofsquare}{areaofrombus}=\frac{1}{\sin A}$

and $\sin A$ will lie between $0$ to $1$

So ratio will $>1$