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12 May, 05:44

a rectangle is 28 feet by 41 feet. If it can be determined, which of the following gives the whole number length, in feet, of a side of the largest square that will fit inside the rectangle?

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  1. 12 May, 08:20
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    c = 20 ft

    Step-by-step explanation:

    The largest square will be 14 sqrt (2) ft long

    To figure out the side length of the square

    use the pythagorean theorem

    a^2 + b^2 = c^2

    we are limited by the shortest side of the rectangle

    28 ft

    each side of the triangle is 1/2 the length of the short side of the rectangle or 14 ft

    a^2 + b^2 = c^2

    14^2 + 14^2 = c^2 where c is the side of the square

    196 + 196 = c^2

    392 = c^2

    take the square root of each side

    sqrt (392) = sqrt (c^2)

    c = 14sqrt (2)

    c = 19.799ft

    to the nearest whole number

    c = 20 ft
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