ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Geometry and Measurement Videos 88 videos
SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?
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?
SAT Math 2.3 Geometry and Measurement. Find the length of AB.
SAT Math 1.4 Geometry and Measurement 224 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...