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**Example 1:
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Find the area of a parallelogram with base 24 m and height 17 m.
__Solution__:

*A = bh
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*A =24 * 17
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*A = 408 m*^{2}

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**Example 2: **The base of a parallelogram is 15 cm and the height is 10cm. What are the area and perimeter of this parallelogram?

__Solution__**: **We know the area is

*A = bh*

A = 15 * 10

A = 150cm^{2}

As show below we do not have any information about the left and right sides.

Thus, we cannot determine the perimeter.

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**Example 3: **A parallelogram has a base of 3x, a height of x, and the other side of the parallelogram (not the base) is 2x. If the area of this parallelogram is 15, what is its perimeter?**
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__Solution__**: ****
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Notice in the diagram that we know enough information to formulate an equation for the area of the parallelogram.

*A = bh = (3x)x = 3x*^{2}

A = 15

*3x*^{2 }= 15

x^{2} = 5

*x*^{ }= √5

Since *x = √5*, we know the height *h = **√5*, the base *b = 3x = x√5* and the other side is *2x = 2√5*.

The perimeter is the sum of the four sides, namely the two bases and two other sides.

*Perimeter** = 2 * (3 * √5) + 2 * (2 *√5 ) = 10√5*

**Example 4: **A parallelogram is 3 yards long. The height, measured perpendicular to this side, is 1.5 yards. What is the area?

__Solution__**: **Since they are perpendicular, the side measurement and the height can be used in the formula.

*A* *= 3 * 1.5
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*A* *= 4.5 square yards.
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**Example 5:** Determine the area of a parallelogram that is 5 m high whereas the base is 9 m long.

*A = b ∙ h = 9 ∙ 5 = 45 m*^{2}

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