Answer :
To find the area of the tiny house, we need to use the formula for the area of a rectangle, which is:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
The given dimensions of the tiny house are:
- Length = 40 feet
- Width = 25 feet
Using this information, we can calculate the area as follows:
[tex]\[ \text{Area} = 40 \times 25 \][/tex]
Now, let's look at the given options:
1. [tex]\( 25 \times 25 \)[/tex]: This calculates a square with sides of 25 feet each. This is not equal to the area of the rectangle with the specified length and width, so this expression does not represent the area of the tiny house.
2. [tex]\( 40 \times 25 \)[/tex]: This is the correct calculation for the area of the tiny house, since it uses the given length and width. Therefore, this expression represents the area of the tiny house.
3. [tex]\( 40 \times 40 \)[/tex]: This calculates a square with sides of 40 feet each. This is not the area of the rectangle with the specified length and width, so this expression does not represent the area of the tiny house.
4. [tex]\( 25 \times 40 \)[/tex]: This uses the same numbers as option 2, just in a different order. Since multiplication is commutative (meaning the order doesn’t matter), this also correctly calculates the area of the tiny house. Therefore, this expression represents the area of the tiny house as well.
To summarize, the expressions that correctly represent the area of the tiny house are:
- [tex]\( 40 \times 25 \)[/tex]
- [tex]\( 25 \times 40 \)[/tex]
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
The given dimensions of the tiny house are:
- Length = 40 feet
- Width = 25 feet
Using this information, we can calculate the area as follows:
[tex]\[ \text{Area} = 40 \times 25 \][/tex]
Now, let's look at the given options:
1. [tex]\( 25 \times 25 \)[/tex]: This calculates a square with sides of 25 feet each. This is not equal to the area of the rectangle with the specified length and width, so this expression does not represent the area of the tiny house.
2. [tex]\( 40 \times 25 \)[/tex]: This is the correct calculation for the area of the tiny house, since it uses the given length and width. Therefore, this expression represents the area of the tiny house.
3. [tex]\( 40 \times 40 \)[/tex]: This calculates a square with sides of 40 feet each. This is not the area of the rectangle with the specified length and width, so this expression does not represent the area of the tiny house.
4. [tex]\( 25 \times 40 \)[/tex]: This uses the same numbers as option 2, just in a different order. Since multiplication is commutative (meaning the order doesn’t matter), this also correctly calculates the area of the tiny house. Therefore, this expression represents the area of the tiny house as well.
To summarize, the expressions that correctly represent the area of the tiny house are:
- [tex]\( 40 \times 25 \)[/tex]
- [tex]\( 25 \times 40 \)[/tex]
