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2 November, 04:27

A landscape designer has a drawing of a flower bed that measures 6 inches by 9 inches. The owner wants the actual flower bed to be 5 feet by 7.5 feet. What is the scale factor the designer must use to install the new flower bed?

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  1. 2 November, 04:50
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    Under given circumstances, we have two ratios: 6:5 and 9:7.5. We can clearly see that 5 is 5/6 of 6. The question is: is 7.5 also 5/6 of 9? Let's check it:

    9 * 5/6 =

    = 45/6 =

    = 7 3/6 =

    = 7 1/2 =

    = 7.5

    It's correct. It means that the designer has to use a scale of 5/6 in comparison to the real dimensions.
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