Question

Find the area of a regular hexagon with an apothem 17.3 miles long and a side 20 miles long

1. 956 mi(2)
2. 1038 mi(2)
3. 1352 mi(2)
4. 1124 mi(2)

Answer 1

The area of a hexagon is
`(3 √(3) )/(2) a^(2)` where a = one side


`(3 √(3) )/(2) 20^(2)`


`(3*200 √(3) )/(2)`


`(600 √(3) )/(2)`


`300 √(3)` ≈ 1038 mi²