Plot the points on a coordinate axis. Once it's graphed, you can see that there are two pairs of congruent, or equal, sides. The shape that best fits these characteristics is a rectangle.

In order to find the area of rectangle \(\displaystyle \small ABCD\) apply the formula: \(\displaystyle \small A=width\times length\)

Since rectangle \(\displaystyle \small ABCD\) has a width of \(\displaystyle \small 7\) and a length of \(\displaystyle \small 4\) the solution is:

\(\displaystyle \small A=7\times4=28\) square units

To find the perimeter of rectangle \(\displaystyle \small ABCD\), apply the formula: \(\displaystyle \small p=2(width)+2(length)\)

Thus, the solution is:

\(\displaystyle \small p=2(7)+2(4)\)
\(\displaystyle \small p=14+8\)
\(\displaystyle \small p=22\)

The area of rectangle \(\displaystyle ABCD\) can be found by multiplying the width and length of the rectangle. 

To find the length of the rectangle compare the x values of two of the coordinates:

Since \(\displaystyle A(-2,2), C(2,4)\) the length is \(\displaystyle 2-(-2)=4\).

To  find the width of the rectangle we need to look at the y coordinates of two of the points.

Since \(\displaystyle A(-2,2), C(2,4)\) the width is \(\displaystyle 4-2=2\).

The solution is:

\(\displaystyle A=w\times l\)
\(\displaystyle A=4\times2=8\)

In order to find the perimeter of a rectangle apply the formula:

\(\displaystyle p=2(width)+2(length)\)

Thus the solution is:
Looking at the coordinate points we found our width\(\displaystyle =4\) and our length\(\displaystyle =5\).

Plugging these values into the perimeter equation we get:

\(\displaystyle p=2(4)+2(5)\)
\(\displaystyle p=8+10=18\)

In order to find the perimeter of rectangle apply the formula: \(\displaystyle p=2(width) + 2(length)\)

To find the length and width of the rectangle look at the difference in the x values and look for the difference in the y values of the coordinates.

\(\displaystyle A(-2,2), B(-2,4) \rightarrow 4-2=2\)

\(\displaystyle B(-2,4), C(2,4) \rightarrow 2-(-2)=4\)

Since, the width of rectangle \(\displaystyle ABCD\) is \(\displaystyle 4\) and the length is \(\displaystyle 2\) the solution is:

\(\displaystyle p=2(4)+2(2)=8+4=12\)

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value \(\displaystyle (x,y)\).

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value \(\displaystyle (x,y)\).

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value \(\displaystyle (x,y)\).

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value \(\displaystyle (x,y)\).

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph: