Find the area of rectangle ABCD that has vertices point A (2, -5), point B (5,-5) point C (5,-1) and point D(2,-1) in square meters

1 answer

To find the area of a 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 between the coordinates of the vertices of the rectangle.

Length = distance between points A and B = √[(5-2)^2 + (-5+5)^2] = √(3^2) = 3

Width = distance between points A and D = √[(2-2)^2 + (-5+1)^2] = √(4^2) = 4

Therefore, the area of the rectangle is:

Area = 3 x 4 = 12 square meters.