Question
Find the perimeter of rectangle ABCD , with vertices A(−8,3) , B(−1,3) , C(−1,−6) , and D(−8,−6) .(1 point)
Responses
30 units
30 units
63 units
63 units
36 units
36 units
32 units
32 units
Responses
30 units
30 units
63 units
63 units
36 units
36 units
32 units
32 units
Answers
GPT 3.5
To find the perimeter of a rectangle, we need to add up the lengths of all four sides.
The distance between points A and B is 7 units (8-1) because they have the same y-coordinate (3).
The distance between points B and C is 9 units (3-(-6)) because they have the same x-coordinate (-1).
The distance between points C and D is 7 units (8-1) because they have the same y-coordinate (-6).
The distance between points D and A is 9 units (3-(-6)) because they have the same x-coordinate (-8).
Adding up these distances, the perimeter of rectangle ABCD is 7 + 9 + 7 + 9 = 32 units.
Therefore, the correct answer is:
32 units
The distance between points A and B is 7 units (8-1) because they have the same y-coordinate (3).
The distance between points B and C is 9 units (3-(-6)) because they have the same x-coordinate (-1).
The distance between points C and D is 7 units (8-1) because they have the same y-coordinate (-6).
The distance between points D and A is 9 units (3-(-6)) because they have the same x-coordinate (-8).
Adding up these distances, the perimeter of rectangle ABCD is 7 + 9 + 7 + 9 = 32 units.
Therefore, the correct answer is:
32 units