10.2. Area of a Parallelogram http://www.ck12.org
10.2 Area of a Parallelogram
Here you’ll learn how to find the area of a parallelogram.
What if you wanted to find the area of a parallelogram? How does the area of a parallelogram relate to the area of a
rectangle? After completing this Concept, you’ll be able to solve problems like these.
Watch This
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter10AreaofaParallelogramA
MEDIA
Click image to the left for more content.Brightstorm:Area ofParallelograms
Guidance
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. Thearea of a parallelogram
isA=bh. Be careful! The height of a parallelogram is always perpendicular to the base. This means that the sides
arenotthe height.
Example A
Find the area of the parallelogram.
A= 15 · 8 = 120 in^2
Example B
If the area of a parallelogram is 56units^2 and the base is 4 units, what is the height?
Plug in what we know to the area formula and solve for the height.