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?

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?

btaylor · Answer

think of a square with side 1 and area one. If it is octupled, the area becomes 64. So it is multiplied by a factor of 8^2. The same thing with pentagons. It will be 64 times larger than original.

anonymous · Answer

Thank you so much, I really had no idea!