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21 September, 03:51

A playing field is rectangular with a length of 100 yards and a width of 53 yards, 1 foot. If a player runs diagonally across this rectangle, how far will he run? [Hint: Use units of feet to perform your calculations.]

How far has the player run?

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  1. 21 September, 03:59
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    First convert yards to feet.

    1 yard = 3 feet.

    100 x 3 = 300 feet long.

    53 x 3 = 159 + 1 = 160 feet wide.

    Now use the Pythagorean theorem to find the diagonal.

    x^2 = 300^3 + 160^2

    x^2 = 90000 + 25600

    x^2 = 115600

    x = √115600

    x = 340 feet
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