A gutter is to be made of a strip of metal 26.1 inches wide, with the cross-section having the form of an isosceles trapezoid as shown below. Find the depth h\displaystyle {h} that gives the maximum cross-sectional area.



What is the length of a\displaystyle {a} in the picture?

The depth, h\displaystyle {h}, that gives the maximum cross-sectional area is

The maximum cross-sectional area is