Question
The picture shows the top view of a piece of glass.
A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet.
Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply.
(1 point)
Responses
A = 212 × 4
A = 2 1 2 × 4
A = 52 + 4
A = 5 2 + 4
A = (212 + 212) + (4 + 4)
A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 )
A = 52 × 4
A = 5 2 × 4
A = (2 × 212) + (2 × 4)
A = ( 2 × 2 1 2 ) + ( 2 × 4 )
A = 212 + 4
A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet.
Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply.
(1 point)
Responses
A = 212 × 4
A = 2 1 2 × 4
A = 52 + 4
A = 5 2 + 4
A = (212 + 212) + (4 + 4)
A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 )
A = 52 × 4
A = 5 2 × 4
A = (2 × 212) + (2 × 4)
A = ( 2 × 2 1 2 ) + ( 2 × 4 )
A = 212 + 4
Answers
GPT-4o mini
To find the area of a rectangle, the formula is:
\[ A = \text{length} \times \text{width} \]
In this case, the length is 4 feet and the width is \(2 \frac{1}{2}\) feet, which is equivalent to \(2.5\) feet.
You can express the area using this formula, which leads to:
\[ A = 4 \times 2.5 \]
Now, let's evaluate the provided options to see which equations can be used to find the area:
1. **A = 212 × 4** - This is incorrect.
2. **A = 2 1/2 × 4** - This expression correctly represents the area, as it implies the multiplication of the width by the length.
3. **A = 52 + 4** - This is incorrect.
4. **A = 5 2 + 4** - Incorrect formatting.
5. **A = (212 + 212) + (4 + 4)** - Incorrect.
6. **A = (2 1/2 + 2 1/2) + (4 + 4)** - Incorrect.
7. **A = 52 × 4** - Incorrect.
8. **A = 5 2 × 4** - Incorrect formatting.
9. **A = (2 × 212) + (2 × 4)** - Incorrect.
10. **A = 212 + 4** - Incorrect.
The only option that accurately can be used to find the area of the glass is:
- **A = 2 1/2 × 4**
In conclusion, select **"A = 2 1/2 × 4"** as the correct equation to find the area of the rectangular piece of glass.
\[ A = \text{length} \times \text{width} \]
In this case, the length is 4 feet and the width is \(2 \frac{1}{2}\) feet, which is equivalent to \(2.5\) feet.
You can express the area using this formula, which leads to:
\[ A = 4 \times 2.5 \]
Now, let's evaluate the provided options to see which equations can be used to find the area:
1. **A = 212 × 4** - This is incorrect.
2. **A = 2 1/2 × 4** - This expression correctly represents the area, as it implies the multiplication of the width by the length.
3. **A = 52 + 4** - This is incorrect.
4. **A = 5 2 + 4** - Incorrect formatting.
5. **A = (212 + 212) + (4 + 4)** - Incorrect.
6. **A = (2 1/2 + 2 1/2) + (4 + 4)** - Incorrect.
7. **A = 52 × 4** - Incorrect.
8. **A = 5 2 × 4** - Incorrect formatting.
9. **A = (2 × 212) + (2 × 4)** - Incorrect.
10. **A = 212 + 4** - Incorrect.
The only option that accurately can be used to find the area of the glass is:
- **A = 2 1/2 × 4**
In conclusion, select **"A = 2 1/2 × 4"** as the correct equation to find the area of the rectangular piece of glass.