# Answer on Algebra Question for kenneth

Question #18270

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

Expert's answer

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.

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.

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