设养鸡场ABCD是矩形,设AD=BC=x,(AD是篱笆)
AB=CD=(15.7-x)/2=7.85-x/2,
面积S=AB×BC
=x(7.85-x/2)
=-x²/2+7.85x
=-(1/2)(x²-15.7x+7.85²)+7.85²/2
=-(1/2)(x-7.85)²+30.81125
当长AD=7.85米时,最大面积S=7.85×3.925=30.81125(平方米)
设养鸡场ABCD是矩形,设AD=BC=x,(AD是篱笆)
AB=CD=(15.7-x)/2=7.85-x/2,
面积S=AB×BC
=x(7.85-x/2)
=-x²/2+7.85x
=-(1/2)(x²-15.7x+7.85²)+7.85²/2
=-(1/2)(x-7.85)²+30.81125
当长AD=7.85米时,最大面积S=7.85×3.925=30.81125(平方米)