Question
a rectangle has an area of 72 in.² which of these could be the dimension of the rectangle
Answers
GPT-4o mini
To find possible dimensions of a rectangle with an area of 72 square inches, you need to consider pairs of factors of 72. The formula for the area \( A \) of a rectangle is given by:
\[
A = \text{length} \times \text{width}
\]
Since the area is 72, we can express this as:
\[
\text{length} \times \text{width} = 72
\]
Now, let's find the pairs of factors that would work:
1. \( 1 \times 72 = 72 \)
2. \( 2 \times 36 = 72 \)
3. \( 3 \times 24 = 72 \)
4. \( 4 \times 18 = 72 \)
5. \( 6 \times 12 = 72 \)
6. \( 8 \times 9 = 72 \)
Based on these pairs, potential dimensions (length and width) of the rectangle could be:
- 1 inch and 72 inches
- 2 inches and 36 inches
- 3 inches and 24 inches
- 4 inches and 18 inches
- 6 inches and 12 inches
- 8 inches and 9 inches
Any of these pairs could represent the dimensions of the rectangle. If you have specific options or choices in mind, please provide them for further evaluation.
\[
A = \text{length} \times \text{width}
\]
Since the area is 72, we can express this as:
\[
\text{length} \times \text{width} = 72
\]
Now, let's find the pairs of factors that would work:
1. \( 1 \times 72 = 72 \)
2. \( 2 \times 36 = 72 \)
3. \( 3 \times 24 = 72 \)
4. \( 4 \times 18 = 72 \)
5. \( 6 \times 12 = 72 \)
6. \( 8 \times 9 = 72 \)
Based on these pairs, potential dimensions (length and width) of the rectangle could be:
- 1 inch and 72 inches
- 2 inches and 36 inches
- 3 inches and 24 inches
- 4 inches and 18 inches
- 6 inches and 12 inches
- 8 inches and 9 inches
Any of these pairs could represent the dimensions of the rectangle. If you have specific options or choices in mind, please provide them for further evaluation.