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 which is:
Area = Length x Width
First, we need to find the length of the rectangle LMNO. The length can be calculated using the distance formula:
Length = √[(x2 - x1)^2 + (y2 - y1)^2]
Using points L and M, we have:
Length = √[(-1 - (-5))^2 + (7 - 7)^2]
Length = √[4^2 + 0]
Length = √16
Length = 4
Next, we need to find the width of the rectangle LMNO. The width can be calculated using the distance formula:
Width = √[(x4 - x1)^2 + (y4 - y1)^2]
Using points L and O, we have:
Width = √[(-5 - (-5))^2 + (-3 - 7)^2]
Width = √[0^2 + (-10)^2]
Width = √100
Width = 10
Finally, we can calculate the area of the rectangle LMNO:
Area = Length x Width
Area = 4 x 10
Area = 40
Therefore, the area of the rectangle LMNO is 40 square units.