L5 m230 -page 3 of 9- (ot) 6. bob wants to create a rectangle vegetable garden adjacent to one side of his house, so that the house itself forms a boundary for the garden. the feucing opposite the house is along a road and must be very durable so the materials cost $6 per foot. the material for the other sides of the fence will cost $4 per foot. bob has a budget of $90 to fence this garden. (a) (2pts) find an equation that gives the cost in terms of the length z of the fence opposite the house and y the length of the other sides of the fence. (b) (2 pts) find the function that gives the area, a of the garden in terms of the side length z. (e) (4pts) find the dimessions of the garden with the largest ares that bob can encloe. for fall credit enclose. for full credit you must show that this is the largest area. (d) (1 pt) what is the maximum area, rounded to the nearest tenth?