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22 August, 12:48

Dimensions of a cow farm are 650 feet by 255 feet. If 1 inch represents 40 feet, what re the dimensions of the building on the drawing?

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  1. 22 August, 12:53
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    the dimensions in the drawing are 16.25 inches by 6.375 inches

    Step-by-step explanation:

    The first thing is to use the same unit on the scale, that is, they tell us that the scale is 1:40 but that scale cannot be applied because they are different units of measurement.

    The answer is preferable to give it in inches because it is more adapted to the measurements in a drawing, therefore we will pass the scale all in inches, knowing that 1 foot is 12 inches:

    40 feet * 12 inches / 1 foot = 480 inches, therefore the scale is 1: 480

    Now, if we pass the dimensions that give us inches, we are left with:

    650 feet * 12 inches / 1 foot = 7800 inches

    255 feet * 12 inches / 1 foot = 3060 inches

    Now applying the scale:

    7800/480 = 16.25

    3060/480 = 6.375

    It means that the dimensions in the drawing are 16.25 inches by 6.375 inches
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