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SAT Math 7.1 Geometry and Measurement 194 Views


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SAT Math 7.1 Geometry and Measurement


Transcript

00:03

I am the one who Shmoops!

00:06

Find the area of this trapezoid.

00:08

Here are the potential answers...

00:12

Okay, so…we’re not given a lot of background here, but apparently we need to find the area

00:17

of a trapezoid.

00:19

Maybe this is a floor plan and we’re picking out carpeting?

00:22

Or someone has a really odd-shaped head and is thinking about investing in a toupee?

00:27

Regardless, let’s use what we know about trapezoids to put this puppy to bed.

00:32

The formula for the area of a trapezoid is 1/2 base 1 plus base 2 times height.

00:39

All right, Base 1 is the top base, which is labeled “x”...

00:43

Base 2 is the bottom base, which is labeled 2x.

00:46

And… whaddya know, we’ve got the height, too, which is also x.

00:50

Now plug in our three pieces of known information and we should be done…

00:55

To get our answer, all we have to do is multiple everything out following PEMDAS…

00:59

…we have to do the stuff in parentheses first.

01:03

So… x plus 2x is 3x.

01:06

Multiplying everything out, we have 1/2 of 3x times x…or 3x squared…

01:13

…which gives us 1.5x squared…

01:16

…or option B.

01:18

This is gonna be one heck of a hairpiece.

01:20

Fingers crossed it doesn’t get too windy…

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