The problem involves calculating the difference in the areas of two rectangles and converting the result into square centimeters. Let me solve this step-by-step.

Given Data:

1. Rectangle 1:
   • Length = 46 mm
   • Width = 26 mm
2. Rectangle 2:
   • Length = 36 mm
   • Width = 16 mm

Step 1: Calculate the areas of both rectangles in square millimeters (mm²).

• Area of Rectangle 1: $\text{Area}_1 = 46 \times 26 = 1196 \, \text{mm}^2$
• Area of Rectangle 2: $\text{Area}_2 = 36 \times 16 = 576 \, \text{mm}^2$

Step 2: Calculate the difference in their areas in square millimeters.

$\text{Difference} = 1196 - 576 = 620 \, \text{mm}^2$

Step 3: Convert the difference into square centimeters (cm²).

Since $1 \, \text{cm}^2 = 100 \, \text{mm}^2$, divide by 100: $\text{Difference} = \frac{620}{100} = 6.2 \, \text{cm}^2$

Final Answer:

The difference in their areas is 6.2 square centimeters.

Would you like a more detailed explanation or clarification?

Related Questions:

1. How do you convert between square millimeters and square centimeters?
2. What is the general formula for finding the area of a rectangle?
3. How would the result change if one rectangle had its dimensions doubled?
4. How can you find the area of a shape if it’s not rectangular?
5. Why do we divide by 100 to convert mm² to cm²?

Tip:

Always remember to double-check unit conversions when solving area problems to avoid calculation errors!