Find the area of the rectangle LMNO, with vertices L(- 5, 7) M(- 1, 7) N(- 1, - 3) and O(- 5, - 3) (1 point)
To find the area of the rectangle LMNO, we can use the formula for the area of a rectangle:
Area = length * width
First, we need to find the length and width of the rectangle. The length is the distance between points L and M, which can be found using the Pythagorean theorem:
Length = √[(x2 - x1)^2 + (y2 - y1)^2]
Length = √[(-1 - (-5))^2 + (7 - 7)^2]
Length = √[(4)^2 + (0)^2]
Length = √[16]
Length = 4
Similarly, the width is the distance between points M and N:
Width = √[(x2 - x1)^2 + (y2 - y1)^2]
Width = √[(-1 - (-1))^2 + (-3 - 7)^2]
Width = √[(0)^2 + (-10)^2]
Width = √[100]
Width = 10
Now, we can find the area:
Area = length * width
Area = 4 * 10
Area = 40
Therefore, the area of the rectangle LMNO is 40 square units.