What is the perimeter of the rectangle in the coordinate plane?
Responses
36 units
36 units
38 units
38 units
65 units
65 units
70 units
70 units
To find the perimeter of a rectangle in the coordinate plane, we need to know the coordinates of its vertices. The perimeter is the total distance around the rectangle, calculated by summing the lengths of all its sides.
In this case, we have four options for the perimeter: 36 units, 38 units, 65 units, and 70 units. To determine the correct answer, we can calculate the length of each side and compare them.
Let's assume the rectangle has vertices A, B, C, and D in a clockwise order. We can find the length of each side using the distance formula:
Side AB: Calculate the distance between the coordinates of point A (x1, y1) and point B (x2, y2) using the formula: √[(x2 - x1)^2 + (y2 - y1)^2].
Side BC: Calculate the distance between the coordinates of point B (x1, y1) and point C (x2, y2).
Side CD: Calculate the distance between the coordinates of point C (x1, y1) and point D (x2, y2).
Side DA: Calculate the distance between the coordinates of point D (x1, y1) and point A (x2, y2).
After calculating the length of each side, we can add them together to get the perimeter of the rectangle.
If the correct answer is not mentioned, please provide the coordinates of the rectangle's vertices so we can assist you further in finding the right answer.