Nakeisha has 42 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 110 square met

Nakeisha has 42 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 110 square meters. Solve for the dimensions (length and width) of the field.

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  1. Answer:
    length=11 width=10
    Step-by-step explanation:
    Create two equations with length(l) and breath(w) as our unknowns
    2l+2w=42
    2l=42-2w
    2l/2=(42-2w)/2
    l=21-w(equation 1)
    lxw=110
    lw=110
    Substitute equation one into equation two
    (21-w)w=110
    21w-w²=110
    Write your equations in standard quadratic form
    0=w²-21w+110
    solve this as a quadriatic tri nominal
    0=(w-10)(w-11)
    0=w-10. or 0=w-11
    10=W. 11=L

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