My friend wants me to answer her math challenge. She wants me to find how many equilateral triangles can be acquired from a rectangular sheet.
See image below for the dimensions:
I calculated the area of triangle which is 0.22436 sq meters
I also calculated the area of the sheet which is 2.9768 sq meters
Therefore, there will be 12.22 $\approx$ 12 pieces of equilateral triangle that can be acquired from that sheet.
When I revealed my answer, she told me that I was wrong and the correct answer should be 6 pieces.
Did I solved this problem wrong? I'm confident on my solution but she was serious when she told me that I got the wrong answer. Is she just making fun of me?
Thanks on your arguments.