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The area of a rectangular field is 12,750 square yards. The width is 150 feet. What is the length of the field in yards.

  • math - ,

    Area = Length x Width
    12750 = length(50) , 150 feet = 50 yards
    length = 12750/50
    = ....

  • math - ,

    Given:

    Area of rectangular field = 12750 square yards
    Width = 150 feet

    << Find the length of the field in yards. >>

    Your conversion factor: 3 feet = 1 yard

    Width = 150 feet = 150/3 = 50 yards

    Therefore,

    Area = 12750 = L(50)

    where

    L = length of field = 12750/50

    L = 255 yards

    << What is the length of the field in feet? >>

    L = 255 yards * 3 feet/yard

    L = 765 feet

    < .What is the area of the field in square feet? >>

    Since there are 3 feet in 1 yard, then there are 9 sq ft in 1 sq yard. Therefore,

    12750 sq yards * 9 sq feet/sq yd = 114,750 sq feet

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