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  1. #1
    jlw
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    The jackson family bought a new tent. Their old tent had = sides of 10ft and a floor width of 15ft.
    If the new tent is similar in shape to the old tent and has = sides of 16ft, how wide is the floor of the new tent?
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  2. #2
    Site Founder Math Help's Avatar
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    Similar rectangles

    The jackson family bought a new tent. Their old tent had = sides of 10ft and a floor width of 15ft.
    If the new tent is similar in shape to the old tent and has = sides of 16ft, how wide is the floor of the new tent?

    Since the two tents are similar in shape that means that the ratio of side to width is the same. we can solve this by finding the ratio of their old tent and then using that to deduce the width of the new tent:

    Old tent ratio: sides/width = 10/15
    New tent ratio: sides/width = 16/?

    10 . 16
    -- = --
    15 . .x

    cross multiply and you get 10x = 15*16
    solve for x to get x=(15*16)/10 = 24 ft
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