### Area of a Parallelogram

Recall that a parallelogram is a quadrilateral whose opposite sides are parallel.

To find the area of a parallelogram, make it into a rectangle.

From this, we see that the area of a parallelogram is the same as the area of a rectangle. The **area of a parallelogram** is ** not** the height.

#### Calculating the Area

Find the area of the parallelogram.

#### Solving for the Height

If the area of a parallelogram is

Plug in what we know to the area formula and solve for the height.

#### Solving for the Width of the Base

If the height of a parallelogram is

Solve for the base in

### Examples

Find the area of the following shapes.

#### Example 1

Area is

#### Example 2

Area is

#### Example 3

A parallelogram with a base of 10 m and a height of 12 m.

Area is

### Interactive Practice

### Review

- Find the area of a parallelogram with height of 20 m and base of 18 m.
- Find the area of a parallelogram with height of 12 m and base of 15 m.
- Find the area of a parallelogram with height of 40 m and base of 33 m.
- Find the area of a parallelogram with height of 32 m and base of 21 m.
- Find the area of a parallelogram with height of 25 m and base of 10 m.

Find the area of the parallelogram.

- If the area of a parallelogram is
42 units2 and the base is 6 units, what is the height? - If the area of a parallelogram is
48 units2 and the height is 6 units, what is the base? - If the base of a parallelogram is 9 units and the area is
108 units2 , what is the height? - If the height of a parallelogram is 11 units and the area is
27.5 units2 , what is the base?

### Review (Answers)

To view the Review answers, open this PDF file and look for section 10.2.