Question

The ratio of the side lengths of two regular hexagons is 3 to 7. If the area of the smaller hexagon is 18 square units, then the area of the larger hexagon is ________.

Answer 1

`(side_1)/(side_2)=(3)/(7)\\\\(Area_1)/(Area_2)=\left((3)/(7)\right)^2=(9)/(49)\\\\(18)/(Area_2)=(9)/(49)\\\\cross\ multiply\\\\9Area_2=18\cdot49\\\\Area_2=(18\cdot49)/(9)\\\\Area_2=2\cdot49\\\\Area_2=98`