The developer wishes to erect the rectangular building on the triangular-shaped piece of property which is 200 feet wide and 400 feet long.
A) State cross-sectional area A(w) of building as the function of width wand express domain of function. Use Euclid's theorem to find relationship between length land width w.
B) Building codes need that building have the cross-sectional area of at least 15,000 square feet. Find widths of buildings which will satisfy building codes?
C) Can developer create the building with the cross-sectional area of 25,000 square feet? Find maximum cross-sectional area of the building constructed in given manner?