Area of Parallelogram (13-3)

Formula

The formula we use to find the area of a parallelogram is the same as the formula we use to find the area of a rectangle:[br][br][math]A=bh[/math]

This is because we can [b]reconstruct[/b] a parallelogram to form a rectangle with the [u]same area.[/u]

Let’s take a closer look...

Try to count the number of squares inside this pink and purple parallelogram below. How many squares (i.e. square units) do you estimate to be inside this parallelogram?

Drag the green slider to see the animation. Observe what happens. What shape do you see now?

How many squares do you now count in the newer shape that was formed?

How does the area of this new shape compare with the area of the original parallelogram?

The area of the new shape is the same as the original parallelogram. The area of the new shape is greater than the original parallelogram. The area of the new shape is less than the area of the original parallelogram.

Watch this video to see some examples using the formula

True or False

The formula to find the area of a parallelogram is the same as the formula to find the area of a rectangle.

True False

The formula to find the area of a parallelogram is

[math]A=bh[/math] [math]A=2bh[/math] [math]A=\frac{bh}{2}[/math]

Which is the height in the parallelogram above?

9 yd. 7 yd. 8 yd.

Which are always true about the height of a parallelogram?

You multiply the height times the base to find the area of a parallelogram The height is measured in units squared It is always at a 90[math]^\circ[/math]angle to the base It is the distance from the bottom base to the top base, at a 90[math]^\circ[/math] angle It is always labeled inside of the parallelogram

Formula

[br][math]A=bh[/math][br][br]Area = Base x Height

Practice

What is the area of this parallelogram?

25[math]cm^2[/math] 90[math]cm^2[/math] 50[math]cm^2[/math] 45[math]cm^2[/math]

Area is always measured in

[math]Units[/math] [math]Units^2[/math]

What is the area of this parallelogram?

Area of Parallelogram (13-3)

Formula

Let’s take a closer look...

Watch this video to see some examples using the formula

True or False

Formula

Practice

Information: Area of Parallelogram (13-3)