On a coordinate graph, the points and are the vertices of a square. What is the area of the square?
A.
7 square units
B.
14 square units
C.
28 square units
D.
49 square units
To find the area of the square, we need to find the length of one side and then square it.
Let's find the length of one side using the given coordinates.
The coordinates of point A are (4, 2).
The coordinates of point B are (6, 2).
The length of one side can be found by subtracting the x-coordinates or the y-coordinates:
Length of one side = 6 - 4 = 2
Now, let's square the length of one side to find the area of the square:
Area of the square = (Length of one side)^2 = 2^2 = 4 square units.
Therefore, the area of the square is 4 square units.
To find the area of a square, we need to know the length of one side of the square. However, the coordinates of the vertices of the square are not provided in the question.
To calculate the area of a square, we need to know the length of one side of the square. If the coordinates of the vertices were provided, we could calculate the length of the side by using the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Without the coordinates, we cannot calculate the distance between the points or determine the length of the side of the square. Therefore, we cannot find the area of the square.
The correct answer choice is not provided in the options given.