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How many [tex]ft^2[/tex] are in [tex]113 \, yd^2[/tex]?

A. [tex]894 \, ft^2[/tex]
B. [tex]1,255 \, ft^2[/tex]
C. [tex]347 \, ft^2[/tex]
D. [tex]1,017 \, ft^2[/tex]
E. [tex]682 \, ft^2[/tex]

Sagot :

To determine how many square feet [tex]\((ft^2)\)[/tex] are in [tex]\(113\)[/tex] square yards [tex]\((yd^2)\)[/tex], we need to use the conversion factor between square yards and square feet.

1 square yard [tex]\((yd^2)\)[/tex] is equal to 9 square feet [tex]\((ft^2)\)[/tex].

Given the area in square yards ([tex]\(113 yd^2\)[/tex]), we can convert it to square feet by multiplying by the conversion factor:

[tex]\[ \text{Area in square feet} = \text{Area in square yards} \times \text{Conversion factor} \][/tex]

[tex]\[ \text{Area in square feet} = 113 \, yd^2 \times 9 \, ft^2/yd^2 \][/tex]

[tex]\[ \text{Area in square feet} = 1017 \, ft^2 \][/tex]

So, [tex]\(113\)[/tex] square yards is equal to [tex]\(1017\)[/tex] square feet.

Thus, the correct choice is:
[tex]\[ 1,017 \, ft^2 \][/tex]
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