To convert square feet ([tex]$ft^2$[/tex]) to square inches ([tex]$in^2$[/tex]), we need to understand the relationship between these units.
1. Identify the conversion factor:
- We know that 1 foot (ft) is equal to 12 inches (in).
- Therefore, 1 square foot ([tex]$1 ft^2$[/tex]) is equal to [tex]\(12 \times 12\)[/tex] square inches (since area is length squared).
- This results in [tex]\(1 ft^2 = 144 in^2\)[/tex].
2. Determine the given value in square feet:
- You are given that you need to convert [tex]$2 ft^2$[/tex].
3. Apply the conversion factor to the given value:
- To find the equivalent value in square inches, you multiply the given number of square feet by the conversion factor calculated above.
- Therefore, [tex]\(2 ft^2 \times 144\ in^2/ft^2\)[/tex].
4. Calculate the result:
- [tex]\(2 \times 144 = 288\ \)[/tex].
Thus, [tex]$2 ft^2$[/tex] is equivalent to [tex]\(288 in^2\)[/tex].
