Question

If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:

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

Answer 1

The correct option is A greater than $1$

Area of square $=a^2$ where a is base length

Area of rhombus with the same base $=a\times h$ where $h$ is perpendicular height.

This height can be changed from $a$ to $0$ so definitely area on the square will be more than an area of rhombus.

thus, greater than $1.$