The area of a hexagon is 42 square cm. If all the dimesions of the hexagon are multiplied by 3, what will be the area of the new figure?

Question

a) 126 cm2 b) 252 cm2, c) 378 cm 2 d) 14 cm2

I took 42 cm x 3 and got 126 cm2 did I work this correctly?

Answer 1

nope. If the side is x3, the area is x3^2 = x9 or 378

whenever the sides are scaled by a factor of n,
area is scaled by n^2
volume is scaled by n^3

since area is figured by multiplying two dimensions, each scaled by the same factor.