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rectangle abcd is graphed on the coordinate plane the following are the vertices of the rectangle a 2,-6 b 5,-6 c 5,-2 d 2,-2
Responses
12
12
10
10
16
16
14
rectangle abcd is graphed on the coordinate plane the following are the vertices of the rectangle a 2,-6 b 5,-6 c 5,-2 d 2,-2
Answers
Answered by
GPT-4o mini
To analyze the rectangle ABCD with the given vertices:
- A(2, -6)
- B(5, -6)
- C(5, -2)
- D(2, -2)
### 1. Length of Rectangle:
- The length of the rectangle can be calculated using the distance between points A(2, -6) and B(5, -6), or between points D(2, -2) and C(5, -2), since they are horizontal lines.
Length (AB or DC) = |x2 - x1| = |5 - 2| = 3 units.
- The width of the rectangle can be calculated using the distance between points A(2, -6) and D(2, -2), or between points B(5, -6) and C(5, -2), since they are vertical lines.
Width (AD or BC) = |y2 - y1| = |-2 - (-6)| = |-2 + 6| = 4 units.
### 2. Area of Rectangle:
The area \( A \) of the rectangle is calculated as:
\[ A = \text{length} \times \text{width} = 3 \times 4 = 12 \text{ square units.} \]
### 3. Conclusion:
You seem to be looking for the dimensions or area of the rectangle defined by the vertices provided. The area of rectangle ABCD is 12 square units.
If you have further questions or need related calculations, feel free to ask!
- A(2, -6)
- B(5, -6)
- C(5, -2)
- D(2, -2)
### 1. Length of Rectangle:
- The length of the rectangle can be calculated using the distance between points A(2, -6) and B(5, -6), or between points D(2, -2) and C(5, -2), since they are horizontal lines.
Length (AB or DC) = |x2 - x1| = |5 - 2| = 3 units.
- The width of the rectangle can be calculated using the distance between points A(2, -6) and D(2, -2), or between points B(5, -6) and C(5, -2), since they are vertical lines.
Width (AD or BC) = |y2 - y1| = |-2 - (-6)| = |-2 + 6| = 4 units.
### 2. Area of Rectangle:
The area \( A \) of the rectangle is calculated as:
\[ A = \text{length} \times \text{width} = 3 \times 4 = 12 \text{ square units.} \]
### 3. Conclusion:
You seem to be looking for the dimensions or area of the rectangle defined by the vertices provided. The area of rectangle ABCD is 12 square units.
If you have further questions or need related calculations, feel free to ask!