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CAHSEE Math 3.5 Measurement and Geometry 408 Views


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Description:

Measurement and Geometry Drill 3 Problem 5. What is the area of the figure below in square centimeters?

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Transcript

00:03

Here’s an unshmoopy question you’ll find on an exam somewhere in life…

00:08

What is the area of the figure below in square centimeters? 

00:11

And here are the potential answers...

00:17

This question is testing our ability to figure out how to calculate the area of the triangle.

00:22

The square and rectangle should be easy enough.

00:24

If not, we’re in deep doo-doo.

00:27

But… just to get those out of the way, we have 6 times 6 – base times height – as

00:31

the area for the square, or 36 square centimeters.

00:36

And the rectangle has an area of 9 times 3 or 27.

00:41

So we know we already have 36 plus 27 or 63 square centimeters before

00:45

we even begin calculating the area of the triangle.

00:49

This lets us cross off A and B as possible answers because it’s a pretty safe bet that

00:53

the triangle’s area is much more than just...1.

00:56

The triangle has base 3 and height 6.

00:59

Whoa. How’d we get there?

01:01

Well, we know that THIS line is 6 centimeters because it’s the length of the rectangle…

01:07

9… minus 3.

01:09

Same deal with the square… 6, the length of the square, minus 3… is 3.

01:16

So the base of the triangle is 3 and the height is 6. We can plug these numbers into the formula

01:21

one half times base times height and we get this:

01:24

Which calculates to one half of 18 or... 9.

01:28

So add the 9 square centimeters of the triangle’s area to the square and rectangle and we have 72.

01:34

The answer is C.

01:36

As in… “Centimeters kick inches’ butt.”

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