Question

The area of a regular Hexagon is 38cm (squared). What is the area of a regular hexagon with sides eight times as long?
A)228cm(squared)
B)304cm(squared)
C)1,824cm(squared)
D)2,432cm(squared)

Answer 1

Hint* Area of a hexagon is \(\large A = \frac{3\sqrt{3}}{2} s^2\) where 's' is a side length

If that \(\large s\) now became \(\large 8s\) what would happen to the area?

Answer 2

64

Answer 3

Right! It would increase by a factor of 64

So if the previous Area was \(\large 38cm^2\) then the new area would be \(\large 38 \times 64 = ? cm^2\)

Answer 4

2,432?

Answer 5

\[\large \color \red{\checkmark}\]

Answer 6

Thank you

Answer 7

Not a problem! Good job :)