A square has the vertices below, find the area of the square.
(−7, −5), (−4, −2), (−1, −5), (−4, −8)
(1 point)
Responses
18−−√ square units
18−−√ square units
18 square units
18 square units
6 square units
6 square units
6–√ square units
To find the area of a square, we need to find the length of one side and then square it.
Using the distance formula, we can find the length of one side of the square.
The distance between (-7, -5) and (-4, -2) is:
√((-4 - (-7))^2 + (-2 - (-5))^2)
= √(3^2 + 3^2)
= √(9 + 9)
= √18
Therefore, the length of one side of the square is √18.
To find the area, we square this length:
Area = (√18)^2
= 18
So, the area of the square is 18 square units.