The sides of rectangle ABCD have lengths 10 and 11. An equilateral triangle is drawn so that no point of the triangle lies outside ABCD. The maximum possible area of such a triangle can be written in the form pq−r, where p,q, and r are positive integers, and q is not divisible by the square of any prime number. Find p+q+r. geometryrectanglealgebrapolynomialAMCAIMEtrigonometry