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15 September, 05:43

The area of a square mirror is 256 in². A rectangular mirror has a width the same as the square mirrors width. Its length is two inches longer than its width. What is the area of the rectangular mirror?

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  1. 15 September, 06:04
    0
    Width of square mirror = √256 in = 16 in

    So, width of the rectangular mirror = 16 in

    According to the question, length of rectangular mirror = (16+2) in = 18 in

    Hence, area of the rectangular mirror = (16*18) in = 288 in square.
  2. 15 September, 06:05
    0
    Area (square mirror) = side²

    Therefore:

    side²=256 in²

    side=√ (256 in²) = 16 in

    Rectangular mirror:

    width = square mirror width=side=16 in

    length = (width + 2 in) = 16 in + 2 in=18 in.

    Area (rectangular mirror) = length x width.

    Area (rectangular mirror) = (18 in) (16 in) = 288 in².

    Answer: the area of a rectangular mirror is 288 in².
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