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12 January, 05:37

Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 foot long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. What is the total amount of time, in hours, it takes Roberto to decorate both signs. Show or explain each step you used to find your answer

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  1. 12 January, 07:03
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    Answer: It takes Him 1/4 hours to decorate both signs,

    Step-by-step explanation:

    Hi, since the area of a rectangle is equal to:

    Area: length x width

    Replacing with the values given;

    Sign 1 = A1 = 2/3 x 1/4 = 1/6 ft2

    Sign 2 = A2 = 1/2 x 1/3 = 1/6 ft2

    If we sum both areas:

    A1 + A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)

    Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:

    For 1/3 ft2

    3/4 hour x 1/3 ft2 = 1/4 h

    ITt takes Him 1/4 hours to decorate both signs,
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