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25 October, 04:12

A rectangle has a length of (3.2a 1 0.18b) centimeters. The width is half the length. Sasha writes the expression (12.8a 1 0.72b) to represent the perimeter of the rectangle in centimeters. Is Sasha's reasoning correct? Explain.

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  1. 25 October, 04:40
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    Perimeter of the rectangle will be given by:

    P=2 (L+W)

    L = (3.2a 10.18b)

    W=1/2 (3.2a 10.18b) = (1.6a 5.9b)

    Thus the perimeter will be:

    P=2 (3.2a 10.18b+1.6a 5.9b)

    P=2 (4.8a 16.08b)

    P = (9.6a + 32.16b)

    Sasha was not correct
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