# How do you find the perimeter of a parallelogram?

Any parallelogram, such as the one pictured below, has opposite sides that are congruent. That means that

Say you only knew the lengths of

Thus, the perimeter could be calculated through taking

Through this, you can generalize to any parallelogram: the two widths will always be congruent, as will the two heights:

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To find the perimeter of a parallelogram, you add the lengths of all four sides together. Since opposite sides of a parallelogram are equal in length, you can multiply the length of one side by 2 and then add it to the product of multiplying the length of the adjacent side by 2. This yields the formula for the perimeter of a parallelogram: ( \text{Perimeter} = 2(\text{length of one side}) + 2(\text{length of adjacent side}) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 12 #. If one side of the triangle has a length of # 3 #, what is the longest possible perimeter of the triangle?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #42 # and the height of the cylinder is #1 #. If the volume of the solid is #480 pi#, what is the area of the base of the cylinder?
- A rectangular box has the dimensions #12\times 18 \times 14# inches. What's its volume? What's its surface area?
- A chord with a length of #5 # runs from #pi/8 # to #pi/2 # radians on a circle. What is the area of the circle?
- Two corners of a triangle have angles of # (3 pi )/ 8 # and # ( pi ) / 2 #. If one side of the triangle has a length of # 7 #, what is the longest possible perimeter of the triangle?

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