Use Coordinate Geometry to Solve Problems Quick Check

Question

3 of 53 of 5 Items

Question
Apply the techniques of using the coordinates to find the length and the width of the polygon. Use the length and the width to find the perimeter of the polygon in miles. Rectangle ABCD has vertices point A (1,−3), point B (5, −3), point C (5, −1), and point D (1, −1).(1 point)
Responses

−12 miles
negative 12 miles

8 square miles
8 square miles

12 square miles
12 square miles

12 miles

Answer 1

The length of the rectangle is the difference in the x-coordinates of points A and B, which is 5 - 1 = 4 miles.

The width of the rectangle is the difference in the y-coordinates of points A and D, which is -1 - (-3) = 2 miles.

The perimeter of the rectangle is 2 * (length + width) = 2 * (4 + 2) = 2 * 6 = 12 miles.

Therefore, the perimeter of the rectangle is 12 miles.