Exercise 32 Page 784

For the given figure, we will find its perimeter and area one at a time.

Perimeter

Consider the given figure. We can tell that it is a parallelogram. The perimeter of a parallelogram is calculated by adding its four side lengths.

We are given that one side length of the parallelogram is $12\text{ yd},$ but we are missing the other three measurements. However, the opposite sides of parallelogram are congruent, so we know that the length of the opposite side is also $12\text{ yd}.$

Now, note that one of the sides whose length is missing is a side of the right triangle formed on the left of the diagram.