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4 June, 14:54

A farmer has 1050 yd of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river, that side does not need to be fenced. The sides of length a must be three times as long as side b. Find the dimensions of the rectangular pasture.

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  1. 4 June, 16:06
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    Dimensions:

    a = 630 yd

    b = 210 yd

    A = 132.300 yd²

    Step-by-step explanation:

    Dimensions of rectangular pasture

    a and b and a = 3*b a is opposite side at the river, therefore

    Area of rectangular pasture

    A = a * b and perimeter of rectangular area (with fencing material) is

    P = a + 2b or P = 3*b + 2*b ⇒ 1050 = 5*b

    b = 1050 / 5 ⇒ b = 210 yd

    And as a = 3*b ⇒ a = 3*210 ⇒ a = 630 yd

    And the area is A = 630*210 = 132.300 yd²
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