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SAT Math 1.4 Geometry and Measurement 224 Views


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Description:

SAT Math 1.4 Geometry and Measurement. If the sides of a square increase in size by 25%, what happens to the area of the square?


Transcript

00:02

Here’s your shmoop du jour, brought to you by enlarging squares.

00:07

We told them not to buy that house downstream from the chemical plant.

00:12

If the sides of a square increase in size by 25%, what happens to the area of the square?

00:20

Here are the answer options...

00:24

To solve this problem we should set

00:25

up an equation where x equals the original length of each side of the square.

00:29

So clearly the area of the original square would have been x squared…

00:34

Okay…now we’re increasing the length of each side by 25%.

00:39

Let’s think about this – if something is 25% larger, then it is 125% of its original size…

00:45

or 1.25 times its original size...

00:48

…and a side that used to have a length of 1 is now 1.25x in length. Got it?

00:53

Now we’ve got our new length… we square that baby –

00:55

1.25x squared – to get 1.5625x squared.

01:02

Which is, right here, 56.25% larger than it was before.

01:08

Okay, so answer D.

01:31

As in “Dental surgery”…

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