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Answer :
To find the width of the table top, we need to use the formula for the area of a rectangle:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
We are given:
- The area of the table top is [tex]\(3^7\)[/tex] square inches.
- The length of the table top is [tex]\(3^4\)[/tex] inches.
Let's solve for the width step-by-step:
1. Find the Area and Length in Numerical Form:
- Calculate [tex]\(3^7\)[/tex]. This is equal to 2,187 square inches.
- Calculate [tex]\(3^4\)[/tex]. This is equal to 81 inches.
2. Set up the Equation to Find the Width:
We know that:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
which becomes:
[tex]\[
2,187 = 81 \times \text{Width}
\][/tex]
3. Solve for the Width:
Divide both sides of the equation by the length (81):
[tex]\[
\text{Width} = \frac{2,187}{81}
\][/tex]
- Perform the division: [tex]\(2,187 \div 81 = 27\)[/tex]
Therefore, the width of the table top is 27 inches. The correct answer is 27 inches.
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
We are given:
- The area of the table top is [tex]\(3^7\)[/tex] square inches.
- The length of the table top is [tex]\(3^4\)[/tex] inches.
Let's solve for the width step-by-step:
1. Find the Area and Length in Numerical Form:
- Calculate [tex]\(3^7\)[/tex]. This is equal to 2,187 square inches.
- Calculate [tex]\(3^4\)[/tex]. This is equal to 81 inches.
2. Set up the Equation to Find the Width:
We know that:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
which becomes:
[tex]\[
2,187 = 81 \times \text{Width}
\][/tex]
3. Solve for the Width:
Divide both sides of the equation by the length (81):
[tex]\[
\text{Width} = \frac{2,187}{81}
\][/tex]
- Perform the division: [tex]\(2,187 \div 81 = 27\)[/tex]
Therefore, the width of the table top is 27 inches. The correct answer is 27 inches.
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