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’s square smiles.

1 answer

To find the area of rectangle ABCD, we need to calculate the length of the sides.

Using the distance formula:

AB = √[(5-2)^2 + (-5-(-5))^2] = √[3^2] = 3 units
BC = √[(5-5)^2 + (-1-(-5))^2] = √[4^2] = 4 units

The area of a rectangle is given by:

Area = length x width

Area = 3 units x 4 units = 12 square units

Therefore, the area of rectangle ABCD is 12 square units.