Question

The sides of two similar hexagons are in a ratio of 4:7. the area of the smaller hexagon is 48 in 2 . find the area of the larger hexagon.

Answer 1

We will have to get the length of the smaller hexagon
Area= 3
`Area =( 3√(3) )/2 ) a^2`
a= 4.3in length of smaller side of hexagon
using the ratio and proportion we will get the bigger hexagon side length
4/7=4.3/x
x= 7.525
Substitute to Area formula of hexagon
Area of large hexagon = 147.12 sq in