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Playlist Geometry and Measurement Test Questions 53 videos

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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?

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SAT Math 1.1 Geometry and Measurement
719 Views

SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?

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SAT Math 1.2 Geometry and Measurement
246 Views

SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

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SAT Math 6.1 Geometry and Measurement 3974 Views


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Description:

SAT Math 6.1 Geometry and Measurement

Language:
English Language

Transcript

00:03

A little birdie told us you wanted to solve a Shmoopy problem.

00:08

Four people can sit around one square table. When two tables are pushed together, six people

00:13

will fit, and eight people will fit around three tables pushed together.

00:17

How many square tables, pushed together in a long rectangle, would be needed to sit twenty people?

00:22

Here are the potential answers...

00:28

Here we’ve got square tables that keep getting pushed together to accommodate our rapidly growing party…

00:33

We’re told that 4 people can sit at one square table, which makes sense…

00:37

…6 people can fit around 2 tables…

00:39

…and 8 people can fit around 3.

00:42

The best way to get a sense of what's going on here is to make ourselves a little chart.

00:46

So, if we expand this a tiny bit further, we get something like this:

00:49

Aha! A pattern has emerged!

00:53

What we might notice is that, in every instance,

00:56

the number of people is double the number of tables… plus 2.

01:02

So working in reverse, if we have 20 people, we’d subtract 2…

01:05

… then cut that number in half.

01:07

We get 9 as our answer… which is C.

01:10

We’re sure your parents will understand you inviting over some friends.

01:13

What they may not understand, however, is why you had to take out the dining room wall

01:17

to make room for all of those folding tables…

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