Answered

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 :

[tex]\frac{side_1}{side_2}=\frac{3}{7}\\\\\frac{Area_1}{Area_2}=\left(\frac{3}{7}\right)^2=\frac{9}{49}\\\\\frac{18}{Area_2}=\frac{9}{49}\\\\cross\ multiply\\\\9Area_2=18\cdot49\\\\Area_2=\frac{18\cdot49}{9}\\\\Area_2=2\cdot49\\\\Area_2=98[/tex]