Sure! Let's break down the problem step-by-step:
1. Understand the Problem: You have the cost of [tex]$20 per square foot and you need to find out the cost for 10 square meters.
2. Convert Square Meters to Square Feet:
- 1 square meter is equivalent to approximately 10.7639 square feet.
- Therefore, to convert 10 square meters to square feet, you multiply 10 by 10.7639.
\[
\text{Area in square feet} = 10 \, \text{square meters} \times 10.7639 \, \text{square feet/square meter} = 107.639 \, \text{square feet}
\]
3. Calculate the Total Cost:
- If the cost per square foot is $[/tex]20, multiply the total area in square feet by this rate.
[tex]\[
\text{Total cost} = 107.639 \, \text{square feet} \times 20 \, \text{dollars/square foot} = 2152.78 \, \text{dollars}
\][/tex]
So, the cost for 10 square meters when the value is [tex]$20 per square foot is $[/tex]2152.78.
Thus, the correct answer is 2152.78.