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6 November, 00:26

A rectangular park is 85 yards wide and 120 yards long.

Give the length and width of another rectangular park that has the same perimeter but a larger area.

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  1. 6 November, 03:35
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    A=10506.25 Sq. yards

    Step-by-step explanation:

    Width of the park=85 yds

    Lenght of the park=120 yds

    Now,

    A=L*W

    A=120*85

    A=10200 square yards. This is the area of your given rectangle.

    Now,

    P=2 (L+W)

    P=2 (120+85)

    P=2 (205)

    P=410 this is the perimeter of your given rectangle.

    Now,

    a=410/4=102.5

    Now, calculate the area of newly given distance of each side:

    A=a^2

    A=102.5^2

    A=10506.25 Sq. Yards

    This is the new area and is larger than the area of the given rectangle which was 10200 square yards.
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