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22 May, 19:34

You have decided to wallpaper your rectangular bedroom. The dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inches high. The room has two windows, each 4 feet by 3 feet and a door 7 feet by 3 feet. Determine how many rolls of wallpaper are needed to cover the walls, allowing 10% for waste and matching. Each roll of wallpaper is 30 inches wide and 30 feet long. How many rolls of wallpaper should be purchased?

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  1. 22 May, 21:08
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    First calculate how much wallpaper is needed:

    add: 2 walls of 12.5 ft length x 8 ft high = 200 ft²

    add: 2 walls of 10.5 ft length x 8 ft high = 168 ft²

    subtract: 2 windows of 4 ft length x 3 ft high = 24 ft²

    subtract: 1 door of 3 ft length x 7 ft high = 21 ft²

    Wallpaper needed: 200 + 168 - 24 - 21 = 323 ft²

    Add 10% for waste and matching: 323 + 323 (10%) = 355.3 ft²

    Next, calculate the amount of wallpaper in one roll:

    0.5 ft wide x 30 ft length = 15 ft²

    Lastly, calculate how many rolls are needed:

    355.3 : 15 = 23.7

    Since you can only purchase an entire roll (and not a fraction of it),

    round the answer up to the nearest whole roll.

    Anser: 24 rolls of wallpaper should be purchased.
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