Question

1. A large greenhouse is to be built and subdivided into six rectangular areas as shown.
   
   The building budget allows for a total 600 metres of walls. This results in the following quadratic model between the total area A, in square metres, and length, l metres, of the greenhouse: A = -0.75l²+ 150l.
   1. Find the zeros of this relation. Interpret the meaning of the zeros in the context of this question.
   2. What length results in the greatest possible area? What is this area?

  

Answer 1

The solution is given below