URGENT:FUNDAMENTAL THEOREM OF SIMILARITY!!! A regular hexagon with a side length of 4 cm has an exact area of 24 square root 3 cm squared. What is the exact area of similar hexagon with a side length of 14 cm?

Question

cwrw238 · Answer

the 2 areas are in the ratio 4^2  / 14^2

anonymous · Answer

can you explain?

cwrw238 · Answer

if ratio of corresponding sides are a / b  then areas are in the ratio a^2 / b^2

so in the case of the hexagons, since the sides are in ratio  4 / 14:

4^2  /  14^2 =  (24 sqrt3) ^2  /   A        where A is area of larger hexagon

16 /  196  =   576*3  /   A

- solve this for A  and you have it.