The sides of the pentagon are quadrupled, so they are now __ times as large. This means the area is now __ times as large. This is equivalent to an increase of __%.
https://www.jiskha.com/questions/1825627/the-sides-of-the-pentagon-are-quadrupled-so-they-are-now-times-as-large-this-means
I don't understand.
To determine the answer, let's go step by step:
1. The sides of the pentagon are quadrupled, which means they are now 4 times as large.
2. If the sides are increased by a factor of 4, the area of the pentagon will be increased by the square of that factor, which is (4^2) = 16.
3. Therefore, the area is now 16 times as large as the original area.
4. To calculate the percentage increase, subtract the original area from the new area, divide by the original area, and multiply by 100: (16 - 1) / 1 * 100 = 1500%.
So, the sides of the pentagon are now 4 times as large, the area is now 16 times as large, and this represents an increase of 1500%.