two similiar hexagons have corrsponding hgts 3m and 4m?

Question

two similiar hexagons have corrsponding hgts 3m and 4m. if the area of the smaller hexagon is 15cm(square) what is the area of the larger hexagon

Answer 1

If you double the size of a shape, its area quadruples. Similarly if the ratio of heights is 4:3, the ratio of areas will be 4² : 3² or 16:9.

16/9 = x/15

x = 15 * 16 / 9
x = 80 / 3
x = 26.6667 sq. units

(I'm not sure if you meant m-meters or cm-centimeters, but your answer should be m² or cm²)

Answer 2

ratio of heights is 4:3, since area is square measure, the ratio of areas is 4^2:3^2 or 16:9 so
x/16=15/9
x=15/9 *16=26.7 cm^2