A dollhouse has a bed with 1/12 the size of a queen size bed. A queen size bed has an area of 4800 square inches,and a length of 80 inches.W

Question

A dollhouse has a bed with 1/12 the size of a queen size bed. A queen size bed has an area of 4800 square inches,and a length of 80 inches.What are the side lengths of the dollhouse bed?

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Arianna 3 weeks 2021-11-14T01:15:48+00:00 1 Answer 0 views 0

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    2021-11-14T01:17:06+00:00

    Answer:

    The side lengths of the dollhouse bed are \frac{20}{3} inches and 5 inches.

    Step-by-step explanation:

    Given:

    A dollhouse has a bed with 1/12 the size of a queen size bed. A queen size bed has an area of 4800 square inches,and a length of 80 inches.

    Now, to find the side lengths of the dollhouse bed.

    Area of queen size bed = 4800 square inches.

    Length of queen size = 80 inches.

    Let the width be x.

    So, to get the width we put formula of area:

    Area =length\times width

    4800=80\times x

    Dividing both sides by 8 we get:

    60=x

    x=60\ inches.

    The width of queen size bed = 60 inches.

    Now, to get the side lengths of the dollhouse bed:

    Length of dollhouse bed:

    \frac{1}{12} \ of\ 80\\\\=\frac{1}{12}\times 80\\\\ =\frac{80}{12} \\\\=\frac{20}{3} \ inches.

    Width of dollhouse bed:

    \frac{1}{12} \ of\ 60\\\\=\frac{1}{12} \times 60\\\\=\frac{60}{12}\\\\=5\ inches.

    Therefore, the side lengths of the dollhouse bed are \frac{20}{3} inches and 5 inches.

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