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Geometry and Measurement Videos 87 videos

SAT Math 1.1 Geometry and Measurement
719 Views

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

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?

SAT Math 1.3 Geometry and Measurement
231 Views

SAT Math 1.3 Geometry and Measurement. Find the length of CE.

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SAT Math 7.5 Geometry and Measurement 184 Views


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SAT Math 7.5 Geometry and Measurement 


Transcript

00:03

It's a bird! It's a plane! It's Shmooperman...guy.

00:08

A fly is flying around this square board.

00:10

The length of the board is 36 centimeters.

00:13

If each of the lines is 1 centimeter thick, what is the probability that the fly will land on a line?

00:20

Round your answer to the nearest percent.

00:22

Here are the potential answers...

00:27

It’s not like flies lead the most exciting lives. Maybe this is just its way of telling

00:30

us that it’s… “board?” All right, so we’re told that each line

00:35

on this board is 1 centimeter thick.

00:36

Okay, so we’ve got this board that’s 36 centimeters long and 36 centimeters wide.

00:42

We’re looking for the ratio of space taken up by lines to the space taken up by…emptiness…

00:47

…so the first thing we should do is probably count up these lines, eh?

00:51

We’ve got seven from top to bottom…

00:53

…and another seven from left to right.

00:55

That’s 14 lines total.

00:57

If each line is 36 centimeters long…which this problem tells us it is…

01:02

…then we take 36 times 14, for a total of 504 centimeters.

01:06

But hold your horses.

01:08

What about all those places where the lines overlap?

01:11

Yeah, we’ll have to subtract those points from our total.

01:14

We have 7 lines criss-crossing another 7 lines, which gives us 49 total points of intersection.

01:18

504 minus 49 equals 455…which is how much space the one centimeter thick lines taken up.

01:26

To get the total area of the board, we just take 36 times 36… which comes out to 1,296.

01:33

Now we need our percentage…so we take 455 divided by 1,296…

01:39

…and wind up with 35 percent. Answer B.

01:42

Unfortunately for our hero, this board also happens to be a popular hang-out spot for Franny the Frog…

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