Find the area of a rectangle ABCD that has vertices point A (1,-4) point B (4,-4) point C (4,0) and point D (1,0) in square miles
Step 1: Calculate the length of one side of the rectangle
Distance between points A and B:
√((4-1)^2 + (-4-(-4))^2) = √(3^2 + 0^2) = √9 = 3
Step 2: Calculate the width of the rectangle
Distance between points B and C:
√((4-4)^2 + (0-(-4))^2) = √(0^2 + 4^2) = √16 = 4
Step 3: Calculate the area of the rectangle
Area = length x width
Area = 3 miles x 4 miles = 12 square miles
Therefore, the area of the rectangle ABCD is 12 square miles.