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?

anonymous · Answer

if each l is now 8(12)

anonymous · Answer

96?

radar · Answer

area being proportional to the "square" I would guess as 64 (8^2) times larger.

anonymous · Answer

Thank you!

radar · Answer

Do you agree with the assumption?

anonymous · Answer

Yes, that reminded me of the proportional properties of areas (squared) and volumes (cubed)