Question 963885: Rachael owns a candy shop. She wants to display her fudge in rectangular trays that have a 100-cm perimeter. To order the trays, Rachael must give the tray's dimensions as integers. What size tray should she order to hold the most fudge if the top of each piece of fudge is a 5-cm square? Then there is a three column table. The first column is Length of tray (cm) and the values are 5, 10, 15, 20, all the way up to 45. The second column is width of tray (cm) and there is only one value which is 30 across from the length of 20. The third column is pieces of fudge. There is only one value which is 16 all the way across from the length of 40.
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! With a given perimeter, a square always has the most area,
so all sides should be equal:
100cm/4=25 cm
She should order trays 25 cm by 25 cm.
TABLE:
Length Width Pieces
-(cm)----(cm)-----#
---5------45------9
--10------40-----16
--15------35-----21
--20------30-----24
--25------25-----25
--30------20-----24
--35------15-----21
--40------10-----16
--45-------5------9
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