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9 June, 21:06

The length of a rectangular plot is expressed as x²m and the breadth is xm if the area of the rectangular plot is 5832sqcm then find it's length and breadth

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  1. 9 June, 21:52
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    Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

    Breadth = x = 0.835 m = 83.5cm

    Step-by-step explanation:

    Given;

    Length of the rectangular plot l = x^2 m

    Breadth b = x m

    Area A = 5832 cm^2 = 0.5832 m^2

    (They should be converted to the same units before solving: length in metres and area in square metres)

    The area of a rectangular plot can be calculated using the formula;

    Area = length * breadth

    A = l * b

    Substituting the values of l and b;

    A = x^2 * x

    A = x^3

    Substituting the value of A;

    0.5832 = x^3

    solving for x;

    x = (0.5832) ^ (1/3)

    x = 0.835 m

    Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

    Breadth = x = 0.835 m = 83.5cm
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