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Basic Geometry Videos 26 videos

SAT Math 1.4 Geometry and Measurement
224 Views

SAT Math 1.4 Geometry and Measurement. If the sides of a square increase in size by 25%, what happens to the area of the square?

SAT Math 1.5 Geometry and Measurement
215 Views

SAT Math 1.5 Geometry and Measurement. How many jars of paint will Sierra need?

SAT Math 9.4 Geometry and Measurement
184 Views

SAT Math 9.4 Geometry and Measurement

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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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