CPM Homework Help : MC2 Problem 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? .

Hint:

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?

Step 2:

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.

Step 3:

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

Step 4:

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

More Help:

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