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6 August, 15:53

Evan bought two square rows the larger one measure 12 ft Square the smaller one had an area equal to 1/4 the area of the larger one what fraction of the side length of the larger rug with a side length of the smaller one

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  1. 6 August, 16:29
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    The smallest area is:

    A2 = (1/4) * (A1)

    Substituting:

    A2 = (1/4) * (12)

    A2 = 3 feet ^ 2

    Since both are squares then:

    L2 = root (3)

    L1 = root (12)

    The relationship is:

    L2 / L1 = (root (3)) / (root (12))

    Rewriting:

    L2 / L1 = (root (3)) / (root (3 * 4))

    L2 / L1 = (root (3)) / (2raiz (3))

    L2 / L1 = 1/2

    Answer:

    The fraction of the side length of the larger rug with a side length of the smaller one is:

    L2 / L1 = 1/2
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