a property owner wants to fence a garden plot adjacent to a road. the fencing next to the road must be sturdier and costs $5 per foot and the other fencing just $3 per foot. the garden has to have an area of 1200 square feet. find the garden dimensions that he can fence-in he spends $600
Let x and y are the dimensions 0f the garden and xis the side next to the road. The area of the garden is x*y=1200. He spends: 5x+3x+2*3y=8x+6y=600. Then we have the system of the equations: x*y=1200 8x+6y=600 y=(600-8x)/6 600x-8x^2=7200 x^2-75x+900=0 x1=15, y1=80 x2=60, y2=20 Dimensions of the garden are (15,80) foot or (60,20) feet.