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Question

You are preparing a computer presentation to be digitally projected onto the wall of your classroom. Your computer screen is 13.25 inches wide and 10.6 inches high. The projected image on the wall is 53 inches wide and 42.4 inches high. Are the two shapes similar? If so, find the scale factor of the computer screen to the projected image.

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highcomputerhighimage=10.642.4=14\dfrac{high_{computer}}{high_{image}} = \dfrac{10.6}{42.4} = \dfrac{1}{4}

widthcomputerwidthimage=13.2553=14\\\dfrac{width_{computer}}{width_{image}} = \dfrac{13.25}{53} = \dfrac{1}{4}

Find the ratios of the highs and widths of the computer and the image.

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