#Help with finding the maximum area
ionic pelicanBOT
peak fox
you could divide the quadriliteral into two triangles. Write the point B as (x_B, y_B), where y_B= - x_B^2 + 8 x_B - 7.
First you can calculate the area of the triangle ABD (half of AD * y_B). The other triangle BCD is more difficult. You can calculate the vector from D to C and then the orthogonal direction of it. Then you can calculate the line through B with this direction (as a function of x_B) and the crossing of this line with DC.
Write altogether to the area of ABCD and derivate by x_B and maximize the area.
prime crane
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