Question

Find the area of the rectangle LMNO , with vertices L(−5,7) , M(−1,7) , N(−1,−3) , and O(−5,−3) .(1 point)

Answer 1

To find the area of the rectangle LMNO, we can use the formula for the area of a rectangle:

Area = length x width

First, we need to find the length and width of the rectangle.

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

Length = √((x2 - x1)^2 + (y2 - y1)^2)
Length = √((-1 - (-5))^2 + (7 - 7)^2)
Length = √4^2 + 0^2
Length = √16
Length = 4

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

Width = √((-1 - (-1))^2 + (-3 - 7)^2)
Width = √(0^2 + (-10)^2)
Width = √100
Width = 10

Now that we have the length (4) and width (10) of the rectangle, we can find the area:

Area = length x width
Area = 4 x 10
Area = 40

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