ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Basic Geometry Videos 26 videos

Surface Area of Cylinders
14741 Views

Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?

Geometría 3D
209 Views

Es una cosa cuando todas esas figuras geométricas están puestas en un pie de la página, pero cuando estas empiezan a expanderse y a invader nues...

See All

SAT Math 7.1 Geometry and Measurement 194 Views


Share It!


Description:

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…

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...