Answer:
B. about 76 in 2
Step-by-step explanation:
The picture of the question in the attached figure
I will assume that the tile is a regular hexagon
The area of the regular hexagon is equal to the area of six congruent equilateral triangles
Applying the law of sines to calculate the area of triangle
Remember that the measure of the interior angle in a equilateral triangle is 60 degrees
so
[tex]A=6[\frac{1}{2} b^2sin(60^o)][/tex]
[tex]b=5.4\ in[/tex]
substitute
[tex]A=6[\frac{1}{2} (5.4)^2sin(60^o)]=75.76\ in^2[/tex]
therefore
The area of each tile is about 76 square inches
