Find the area of the rectangle LMNO with vertices L(-5,7),m(-1,7),n(-1,-3),o(-5,-3)

Answer 1

To find the area of the rectangle LMNO, we need to find the length of the base and the height of the rectangle.

The base of the rectangle is the distance between points L and M. Using the distance formula:

Base = √[(-1 - (-5))^2 + (7 - 7)^2]
Base = √[4^2 + 0]
Base = √16
Base = 4

The height of the rectangle is the distance between points M and N. Using the distance formula:

Height = √[(-1 - (-1))^2 + (-3 - 7)^2]
Height = √[0^2 + (-10)^2]
Height = √100
Height = 10

Now, we can find the area of the rectangle using the formula:
Area = Base x Height
Area = 4 x 10
Area = 40

Therefore, the area of the rectangle LMNO is 40 square units.