keonroyoseleh
Answered

you were planning to use a ceramic tile design in your new bathroom. The towels are blue and white equilateral triangle of you decides arrange the blue tiles in a hexagonal shape as shown if the side of each tile measures 7 cm what were the exact area of each hexagonal shape

Verified Answer :

meerkat18

I found the image that should have accompanied this problem.

Given:
equilateral triangle with sides that measures 7cm.
hexagonal shape meaning 6 sides or 6 equilateral triangles used.

Area of an equilateral triangle = √3/4 a²
A = √3 /4 (7cm)²
A = 1.73/4 49cm²
A = 21.20 cm²

21.20 cm² 6 tiles = 127.20 cm²  ARea of the hexagon.