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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
Full Transcript
- 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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