Let's solve the given problems step-by-step.
### Part 1: Multiplying Two Lengths to Get the Area
We need to find the area by multiplying two lengths: 3.214 mm and 1.5 mm.
1. Write the lengths:
- Length 1: 3.214 mm
- Length 2: 1.5 mm
2. Multiply the lengths:
[tex]\[
\text{Area} = 3.214 \, \text{mm} \times 1.5 \, \text{mm}
\][/tex]
3. Calculate the product:
[tex]\[
\text{Area} = 4.821 \, \text{mm}^2
\][/tex]
So, the area is [tex]\( 4.821 \, \text{mm}^2 \)[/tex].
### Part 2: Dividing a Volume to Get the Result in Liters
We need to divide one volume by another: 13.702 L by 5 L.
1. Write the volumes:
- Volume 1: 13.702 L
- Volume 2: 5 L
2. Divide the volumes:
[tex]\[
\text{Result} = \frac{13.702 \, \text{L}}{5 \, \text{L}}
\][/tex]
3. Calculate the quotient:
[tex]\[
\text{Result} = 2.7404 \, \text{L}
\][/tex]
So, the result of the division is [tex]\( 2.7404 \, \text{L} \)[/tex].
### Summary
- The area obtained by multiplying the lengths 3.214 mm and 1.5 mm is [tex]\( 4.821 \, \text{mm}^2 \)[/tex].
- The result of dividing the volume 13.702 L by 5 L is [tex]\( 2.7404 \, \text{L} \)[/tex].
In conclusion, the detailed step-by-step solution to the given problems provides the area and volume results as [tex]\( 4.821 \, \text{mm}^2 \)[/tex] and [tex]\( 2.7404 \, \text{L} \)[/tex], respectively.
