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Geometry and Measurement Videos 88 videos

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?

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?

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SAT Math 1.4 Geometry and Measurement 224 Views


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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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