ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
SAT Math Videos 171 videos
SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?
SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...
SAT Math 1.3 Statistics and Probability. Approximately what is the probability that they will be placed in alphabetical order?
SAT Math 1.4 Geometry and Measurement 240 Views
Share It!
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
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”…
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...