The ratio of a side of square X to the length of rectangle Z is 3:4 . The ratio of a side of square X to the width of rectangle Z is 3:2. What is the ratio of the area of square X to the area of rectangle Z ?

Options

A. `1:1`
B. `2:1`
C. `3:2`
D. `9:8`

Answer

To find the ratio of the area of square X to the area of rectangle Z, we can follow these steps:

### Step 1: Define the Variables
Let the side of square X be denoted as \( S \), the length of rectangle Z as \( L \), and the width of rectangle Z as \( W \).