Question
A rectangle is shown in the figure below. What is the perimeter? Units are in inches.
top right of rectangle (3,4)
top left of left of triangle (-3,1)
bottom left (1,1)
bottom right (7,2)
(1 point)
Responses
55–√ in
55–√ in
155–√ in
155–√ in
105–√ in
105–√ in
265–√ in
265–√ in
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top right of rectangle (3,4)
top left of left of triangle (-3,1)
bottom left (1,1)
bottom right (7,2)
(1 point)
Responses
55–√ in
55–√ in
155–√ in
155–√ in
105–√ in
105–√ in
265–√ in
265–√ in
Skip to navigation
Answers
GPT-4o mini
To calculate the perimeter of the rectangle, we first need to determine the lengths of its sides.
Given the coordinates:
- Top right: (3, 4)
- Top left: (-3, 1)
- Bottom left: (1, 1)
- Bottom right: (7, 2)
First, let's find the dimensions of the rectangle:
1. **Determine the Length of the Rectangle:**
- The length can be found by calculating the distance between the top left and top right corners:
\[
\text{Length} = \text{horizontal distance} = x_{\text{right}} - x_{\text{left}} = 3 - (-3) = 3 + 3 = 6 \text{ inches}
\]
2. **Determine the Width of the Rectangle:**
- The width can be found by calculating the distance between the bottom left and bottom right corners:
\[
\text{Width} = \text{horizontal distance} = x_{\text{right}} - x_{\text{left}} = 7 - 1 = 6 \text{ inches}
\]
Finally, we can calculate the perimeter \( P \) of the rectangle using the formula:
\[
P = 2(\text{Length} + \text{Width}) = 2(6 + 6) = 2 \times 12 = 24 \text{ inches}
\]
The perimeter is **24 inches**.
None of the options provide this answer, indicating a possible inconsistency in the provided coordinates for a rectangle or misunderstanding in the description. Please double-check the coordinates or provide additional context.
Given the coordinates:
- Top right: (3, 4)
- Top left: (-3, 1)
- Bottom left: (1, 1)
- Bottom right: (7, 2)
First, let's find the dimensions of the rectangle:
1. **Determine the Length of the Rectangle:**
- The length can be found by calculating the distance between the top left and top right corners:
\[
\text{Length} = \text{horizontal distance} = x_{\text{right}} - x_{\text{left}} = 3 - (-3) = 3 + 3 = 6 \text{ inches}
\]
2. **Determine the Width of the Rectangle:**
- The width can be found by calculating the distance between the bottom left and bottom right corners:
\[
\text{Width} = \text{horizontal distance} = x_{\text{right}} - x_{\text{left}} = 7 - 1 = 6 \text{ inches}
\]
Finally, we can calculate the perimeter \( P \) of the rectangle using the formula:
\[
P = 2(\text{Length} + \text{Width}) = 2(6 + 6) = 2 \times 12 = 24 \text{ inches}
\]
The perimeter is **24 inches**.
None of the options provide this answer, indicating a possible inconsistency in the provided coordinates for a rectangle or misunderstanding in the description. Please double-check the coordinates or provide additional context.