Find the area of the rectangle LM NO, with vertices L (-5, 7),M (-1,7),

Question

N (-1, -3), and 0 (-5, -3).

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 calculate the length and width of the rectangle. The length of the rectangle can be found by calculating the distance between points L and M, and the width can be found by calculating the distance between points M and N.

Length:
√((-1 - (-5))^2 + (7 - 7)^2) = √(4^2) = 4

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

Now, we can calculate the area of the rectangle by multiplying the length and width:

Area = 4 x 10 = 40

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