A pentagon is formed by placing an isosceles triangle on a rectange. If the pentagon has fixed perimeter P, find the lengths of the sides of the pentagon that maximize the area of the pentagon.
Check number 4 for a picture and answers: http://ocw.nctu.edu.tw/upload/calcul.../ca2_test5.pdf
Its how to get the answers that i need help with...
Maximize the area:
using lagrange multipliers:
From here i cannot solve for any one variable. Caused mainly by the , which adds one too many variables. I am most likely missing some little step to get me there, or mabye lagrange multipliers are not the best method to use...Please let me know what to do. Thanks!