Question

Brennan is making a poster for the drama club’s new production. It is a regular pentagon with side lengths of 12 inches. The school wants to put up a giant replica of the poster during athletic events.

If the length of each side is 8 times the original, how many times larger is the area of the replica than the area of the original?

Answer 1

k

Answer 2

do you know the area of a pentagon in terms of sides?

Answer 3

k

Answer 4

regular polygons have congruent sides

Answer 5

so the new polygon would have sides 96

Answer 6

I think it would be a good idea to refer to the set of equations that callisto put up at the end of your second to last question. This is merely a proportions question again.

Answer 7

12 squared= 144 squared

Answer 8

96 squared=9216

Answer 9

9216-144=9072

Answer 10

Don't use subtraction, rather, you should use division.

Answer 11

64

Answer 12

ahh, how many times

Answer 13

ty

Answer 14

next problem

Answer 15

Right. You could also have seen this quicker by noticing that since the side lengths increased by a factor of 8, the area must increase by a factor of \(8^2=64\).

Answer 16

ahh