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Area Videos 26 videos

Area
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Okay, so you know the length and width of your cutting board, but how do you find the area? Watch the video and find out. Then you can brag to all...

Area Formulas
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We know how much you love formulas. You’ve got a couple scratched into the top of your desk and another tattooed on your left forearm (your mom i...

Area of an Irregular Shape
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We feel really bad for these irregular shapes. We can only imagine how they must feel. Perhaps we could recommend a high-fiber diet? That might hel...

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CAHSEE Math 6.2 Measurement and Geometry 171 Views


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Description:

Measurement and Geometry Drill 6 Problem 2. What is the area of the square?

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour…

00:05

Two vertices, W and Z, of the square shown

00:08

below have the coordinates (0, 3) and (4, 0), respectively. 

00:12

What is the area of the square?

00:14

And here are the potential answers...

00:18

Ooh, totally cool and clever problem that really tests our ability to visualize, slice, and dice.

00:24

Let’s first plot the coordinates we’re given to try to visualize this square.

00:28

(0, 3) for point W…so we start at the origin, and move up 3 units.

00:33

(4, 0) for point Z… so we can just move to the right 4 units.

00:37

Since both of these points are vertices of the square, we can just connect the two to get one side of a square.

00:43

Okay wait… what’s the distance between points W and Z?

00:48

Calling Pythagoras…1-800-Pythagoras…Come in...

00:52

We can see use the Pythagorean theorem to find the length between W and Z…

00:55

“a squared plus b squared equals c squared.”

00:59

And that gets us 3 squared plus 4 squared is c squared which is 9 plus 16, or 25.

01:06

Take the square root to get 5 equals the line between W and Z.

01:13

This is a SQUARE…which means that all sides are equal. All of them are 5.

01:18

And the formula for the area of a square is just base times height – so if we know one

01:22

side we know everything, more or less… And that gets us 5 times 5 which is... 25.

01:27

Answer… C. As in… “Careful – it’s hot.”

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