# SAT Math 4.1 Geometry and Measurement

SAT Math 4.1 Geometry and Measurement

 GED Math Geometry and Measurement Geometry Quadrilaterals Language English Language Problem Solving and Data Analysis Center, shape, and spread Product Type SAT Math Quadrilaterals RectanglesSquares and Rectangles SAT Math Geometry and Measurement

### Transcript

00:26

Perhaps we’re looking at a Confederate flag...

00:29

…or that quilt your grandmother stitched for you…

00:31

…or a dead Sasquatch floating in our swimming pool…

00:34

Yeah, let’s go with the Sasquatch. We can’t bear to look at that quilt again.

00:38

Okay, so if your pool has a width of x and a length of 2x…

00:42

…we want to know the length of the Sasquatch,

00:44

from the end of one hand to the tip of his opposite enormous foot.

00:50

What we should immediately recognize is that the diagonal of any rectangle divides the

00:55

shape into two equally sized triangles.

00:58

So as long as we know how to determine the hypotenuse of

01:01

a right triangle given the length of its legs…this should be a cinch.

01:04

We’re going to fall back on our a squared plus b squared equals c squared formula…

01:09

…so x squared plus 2x squared equals c squared. So let's rewrite it...

01:14

2x squared is 4x squared… added to our one x squared.

01:19

That gives us 5x squared equals c squared.

01:22

We can take the square root of both sides to get x√5 = c.

01:27