since you did not give the dimension of the shape or logo, i cannot fully answer your question. but for the moment, i can give you the formula on how to solve this.
area of square:
a = s^2
where s is the length of the side of the square
area of triangle
a = (1/2) bh
where b is the base of the triangle
h is the height of the triangle
so the area of the logo
A = s^2 + 3(1/2)bh