The area of a regular hexagon is 30 in.2. Find the length of a side. Round your answer to the nearest tenth.

A) 5.9 in.
B) 3.4 in.
C) 4.5 in.
D) 11.5 in.

Thanks!

Question

The area of a regular hexagon is 30 in.2. Find the length of a side. Round your answer to the nearest tenth.

A) 5.9 in.
B) 3.4 in.
C) 4.5 in.
D) 11.5 in.

Thanks!

amistre64 · Answer

a hexagon has the property that its inner parts all have the same lengths; its made of equilateral triangles .. 6 of them

amistre64 · Answer

30/6 = and area of 5 for each triangle inside of it

amistre64 · Answer

5 = a^2 sin(60)/2

10 = a^2 (sqrt(3)/2)

10/sqrt(3) = a^2

a = sqrt(10/sqrt(3)) =abt.....

amistre64 · Answer

3.4 after I adjust the 10 to 20 to account for the typing error