Question

The area of a regular decagon is 50cm2. What is the area of a regular decagon with sides four times the sides of the smaller decagon?

Answer 1

if linear dimension grows by a factor of n
area grows by n^2
volume grows by n^3

Answer 2

I'm not understanding

Answer 3

24

Answer 4

So Steve is exactly right. Since our smaller decagon is 50 cm2, and our larger decagon's sides increase by 4 times, we multiply 50 * 4^2 or 50*16 which = 800cm2. Remember that the base equation for finding the area of any polygon is 1/2ap. So since the perimeter is being multiplied by 4 and we are calculating area and not just perimeter, the entire area increases by 4^2.