©Mike’s Math Mall

I’d like to put some of these squares into my belly! To find the area of a rectangle, we multiply the number of “base” squares by the number of “height” squares. Area – the number of square units a figure contains. figure contains. Just try to focus, Sparky! Got it, sir!

Because this pizza has 5 base squares and 3 height squares, we can use a formula to find the area. The formula saves us from counting! Area = 15 square units base height

Personally, I’d rather just concentrate on the pizza! In this lesson, we will REVIEW the area formulas for the following figures: Sparky! My bad!

Here are the area formulas for squares, rectangles, and parallelograms: Notice how similar these formulas are! The capital “A” stands for area! base height or base height base height Height is measured from the top of a figure perpendicular to its base.

We can remove one end of a parallelogram and slide it across the figure. This shows us that a parallelogram is really just a “tilted” rectangle. Whoa! That just tripped my trigger! Remember to breath, my friend! How can a parallelogram have the same formula as a rectangle or square?

1) 9 cm 3 cm Find the area of the following figures. Remember! You’re finding square units, so all labels should be units 2. 3) 11 mm 2) 6 ft 2 ft 2.5 ft

Just when I was getting the hang of this, you had to go and throw a fraction at me. Now, let’s look at the formula forthe area of a triangle: Calm down and check this out! height base side length This is not the height of the triangle.

base height base height A triangle is really one half of a square, rectangle, or parallelogram. And that’s why the formula for a triangle is: base height

I think I get it! And I heard that taking half of a number is the same thing as dividing by 2. So to find the area of a triangle, just multiply the base times the height and divide that answer by 2? Well, you heard right! That’s it! You can use either formula to find the area of a triangle:

Find the area of the following triangles. Remember! You’re finding square units, so all labels should be units 2. 1) 6 in 11 in 12 in 2) 9 m 3 m 9.5 m

Run for your lives! That formula’s ridiculous! That brings us to the lesson’s last area formula for the trapezoid: I know it looks scary, Sparkington, but check this out! base 2 base 1 height

base 2 height A trapezoid is really just two triangles, each with its own base. Step 2: Multiply the sum of the bases by the height of the trapezoid. the height of the trapezoid. Step 1: Add the two bases together. Follow these steps to find the area of a trapezoid: (or divide by 2)

Find the area of each trapezoid. Remember to label your answers! 1) 5 m 2 m 3 m 2.6 m 2) 3 in 5 in 8 in 3.3 in

I feel like an area-finding beast, sir! Then maybe we could work on finding you a shirt that covers a little more “area,” if you know what I mean! So, how do you feel about finding area now, Sparky? And cover these awesome abs? I don’t think so! Yeah, what in the world was I thinking? Wanna see a belly wave! My work here is done!