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15 February, 20:05

A rectangular restaurant kitchen has a perimeter of 36 meters and an area of 80 square meters. what are the dimensions of the kitchen?

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  1. 15 February, 20:57
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    Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,

    P = 2L + 2W

    Substituting the perimeter,

    36 = 2L + 2W

    Simplifying,

    18 = L + W

    The area is calculated by multiplying the length and width as below,

    A = 80 = LW

    Substituting the expressions,

    80 = (L) (18 - L)

    The value of L from the equation is 8. With this, the value of W is equal to 10.

    Therefore, the dimensions of the rectangle are 8 m by 10 m.
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