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mr.sanchez has 16 feet of fencing to put aron a rectangular garden he wants the garden greatest possible área how Long should the si de of the garden be
If Mr. Sanchez has 16 feet of fencing to put around a rectangular garden.he wants the garden to have the greatest possible area. How long should the sides of the garden be? *** let x=width of garden let y=length of garden 2x+2y=perimeter=16 2y=16-2x y=8-x area=x*y=x(8-x)=8x-x^2 area=-x^2+8x complete the square: A(x)=-(x^2-8x+16)+16 A(x)=-(x-4)^2+16 this is an equation of a parabola that opens down with vertex at (4,16) maximum area of the garden of 16 sq ft occurs when: width=4 ft length=4 ft a square
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