Rectangle ABCD has vertices point A (-5, 1), point B (-2, 1), point C (-2, 6), and point D (-5, 6). Find the area of the rectangle in square feet.
To find the area of the rectangle, we can use the formula:
Area = length x width
To find the length and width of the rectangle, we can use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
First, let's find the length of the rectangle AB:
Distance AB = √[(-2 - (-5))^2 + (1 - 1)^2]
Distance AB = √[3^2 + 0^2]
Distance AB = √(9)
Distance AB = 3
Now, let's find the width of the rectangle BC:
Distance BC = √[(-2 - (-2))^2 + (6 - 1)^2]
Distance AB = √[0^2 + 5^2]
Distance AB = √(25)
Distance AB = 5
Now we can find the area of the rectangle:
Area = 3 x 5
Area = 15 square feet
Therefore, the area of the rectangle ABCD is 15 square feet.