### Home > MC2 > Chapter 11 > Lesson 11.2.4 > Problem11-72

11-72.

Graph the points $(0, 2)$, $(6, 2)$, $(7, 4)$, and $(1, 4)$ and connect the points in order to create a parallelogram. What is the perimeter of the parallelogram? .

In order to find the perimeter, we need to know the lengths of all $4$ sides of the parallelogram. We know two of the sides from the graph. How can we find the lengths of the other two sides?

Draw a triangle so that the missing side is the hypotenuse of the triangle. Then use the Pythagorean Theorem to find the length of the hypotenuse.

$1^² + 2^² =$ hypotenuse$^²$
$1 + 4 =$ hypotenuse$^²$
$5 =$ hypotenuse$^²$
$\text{hypotenuse }=\; \sqrt{5}$

Now add all the sides together to get the perimeter of the parallelogram.

Does the answer repeat or terminate?

Use the eTool below to graph the points and create a parallelogram.
Click the link at right for the full version of the eTool: MC2 11-72 HW eTool