Calculate the perimeter of the rectangle that has endpoints at the ordered pairs 𝐴=(3,7), 𝐵=(12,7), 𝐶=(12,4), and 𝐷=(3,4).24 units18 units30 units36 units

To calculate the perimeter of a rectangle, you need to know the lengths of the sides. The sides of the rectangle are determined by the distance between the points.

1. Calculate the length of AB (the horizontal side). This is the difference in the x-coordinates of B and A. Length AB = x-coordinate of B - x-coordinate of A = 12 - 3 = 9 units.

2. Calculate the length of BC (the vertical side). This is the difference in the y-coordinates of C and B. Length BC = y-coordinate of B - y-coordinate of C = 7 - 4 = 3 units.

3. The perimeter of a rectangle is given by the formula 2*(length + width). So, Perimeter = 2*(AB + BC) = 2*(9 + 3) = 2*12 = 24 units.

So, the perimeter of the rectangle is 24 units.