I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $4 per foot, and the fencing for the east & west sides costs $2 per foot. If I have a budget of $80 for the project, what are the dimensions of the garden with the largest area I can enclose?

Question

pfenn1 · Answer

|dw:1340236486560:dw|The largest enclosed area is given by a square. Let x = the side of the square. $$4x+2(2x)=80$$