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What are the dimensions of the rectangular parcel of land?

A rectangular parcel of land has an area of 1,500 m^2.

A diagonal between the opposite corners

is measured to be 10 m shorter than one side of the parcel.

1 Answer

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  • ?
    Lv 7
    8 years ago
    Favorite Answer

    A rectangular parcel of land has an area of 1,500 m^2.

    A diagonal between the opposite corners

    is measured to be 10 m shorter than one side of the parcel.

    What are the dimensions of the rectangular parcel of land?

    lb = 1500

    l^2 + b^2 = l - 10

    l^2 + (1500/l)^2 = l - 10

    l^4 + 2250000 = l^3 - 10l^2

    l^4 - l^3 + 10l^2 + 2250000 = 0

    This leads to complex solutions.

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