Question
Find the missing measurement. Round your answer to the nearest tenth.
side 9 in
bottom = ? in
Area = 81 in^2
Question 12 options:
9.2 in
6.5 in
9 in
5.4
side 9 in
bottom = ? in
Area = 81 in^2
Question 12 options:
9.2 in
6.5 in
9 in
5.4
Answers
GPT-4o mini
To find the missing measurement, we can use the formula for the area of a rectangle, which is:
\[
\text{Area} = \text{length} \times \text{width}
\]
In this case, the known values are:
- Area = 81 in²
- One side (length) = 9 in
- Bottom (width) = ?
Let the width be \( w \). We set up the equation:
\[
81 = 9 \times w
\]
To solve for \( w \), we can divide both sides by 9:
\[
w = \frac{81}{9} = 9 \, \text{in}
\]
Since this matches one of the provided options, we can check:
- If \( w = 9 \, \text{in} \), then the area remains \( 81 \, \text{in}^2 \).
However, none of the options seem to be directly from this calculation. Instead, let's analyze the provided options:
1. **9.2 in**
2. **6.5 in**
3. **9 in**
4. **5.4 in**
Since we've calculated that the width is 9 inches, which is indeed the same as the side provided. Therefore, the best answer amongst the provided options is:
**9 in**
\[
\text{Area} = \text{length} \times \text{width}
\]
In this case, the known values are:
- Area = 81 in²
- One side (length) = 9 in
- Bottom (width) = ?
Let the width be \( w \). We set up the equation:
\[
81 = 9 \times w
\]
To solve for \( w \), we can divide both sides by 9:
\[
w = \frac{81}{9} = 9 \, \text{in}
\]
Since this matches one of the provided options, we can check:
- If \( w = 9 \, \text{in} \), then the area remains \( 81 \, \text{in}^2 \).
However, none of the options seem to be directly from this calculation. Instead, let's analyze the provided options:
1. **9.2 in**
2. **6.5 in**
3. **9 in**
4. **5.4 in**
Since we've calculated that the width is 9 inches, which is indeed the same as the side provided. Therefore, the best answer amongst the provided options is:
**9 in**