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Answer :
First, note that the area of a rectangle is calculated by multiplying its length by its width. In this case, the tiny house has a length of [tex]$40$[/tex] feet and a width of [tex]$25$[/tex] feet. Therefore, the area is
[tex]$$
\text{Area} = 40 \times 25 = 1000 \text{ square feet.}
$$[/tex]
Now, we check each provided expression:
1. The expression [tex]$40 \cdot 40$[/tex] evaluates to
[tex]$$
40 \cdot 40 = 1600,
$$[/tex]
which is not equal to [tex]$1000$[/tex].
2. The expression [tex]$25 \cdot 40$[/tex] evaluates to
[tex]$$
25 \cdot 40 = 1000,
$$[/tex]
which correctly represents the area.
3. The expression [tex]$25 \cdot 25$[/tex] evaluates to
[tex]$$
25 \cdot 25 = 625,
$$[/tex]
which is not equal to [tex]$1000$[/tex].
4. The expression [tex]$40 \cdot 25$[/tex] also evaluates to
[tex]$$
40 \cdot 25 = 1000,
$$[/tex]
exactly representing the area.
Thus, the expressions that represent the area of the tiny house are
[tex]$$
25 \cdot 40 \quad \text{and} \quad 40 \cdot 25.
$$[/tex]
[tex]$$
\text{Area} = 40 \times 25 = 1000 \text{ square feet.}
$$[/tex]
Now, we check each provided expression:
1. The expression [tex]$40 \cdot 40$[/tex] evaluates to
[tex]$$
40 \cdot 40 = 1600,
$$[/tex]
which is not equal to [tex]$1000$[/tex].
2. The expression [tex]$25 \cdot 40$[/tex] evaluates to
[tex]$$
25 \cdot 40 = 1000,
$$[/tex]
which correctly represents the area.
3. The expression [tex]$25 \cdot 25$[/tex] evaluates to
[tex]$$
25 \cdot 25 = 625,
$$[/tex]
which is not equal to [tex]$1000$[/tex].
4. The expression [tex]$40 \cdot 25$[/tex] also evaluates to
[tex]$$
40 \cdot 25 = 1000,
$$[/tex]
exactly representing the area.
Thus, the expressions that represent the area of the tiny house are
[tex]$$
25 \cdot 40 \quad \text{and} \quad 40 \cdot 25.
$$[/tex]
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