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19 December, 20:48

The area of rectangle R is 48. If its sides are whole numbers, then its perimeter cannot be__?

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  1. 19 December, 21:10
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    An odd number. That's because the formula for the perimeter is

    P = 2 * (L + W)

    Multiplying by 2 is never going to produce an odd number. The question is much trickier than it looks. What happens when you have a square with sides of 7.

    The area = s^2

    Area = 7 * 7

    Area = 49 and that's odd. But can you get an odd perimeter? The answer is no. The perimeter of a square is 4s

    P = 4s. If s = 7

    P = 4*7

    P = 28 which is even. If there is another answer, I'm unaware of it.

    A: P = 2 * (6 + 8) = 2*14 = 28 A is a correct Perimeter.

    B: P = 2 * (3 + 16) = 2*19 = 38 B is a correct Perimeter.

    C:P = 2*? Can't find anything. C is the answer.

    D:P = 2 * (1 + 48) = 2*49 = 98. D is correct.

    Answer: C
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