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?
Answer (3)
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.
The landscape designer must use a scale factor of 10 to install the new flower bed based on the drawing. This scale factor is calculated by dividing the actual size by the size in the drawing for one dimension (either length or width). ;
The scale factor the landscape designer should use is 10. This is determined by comparing the actual dimensions in inches to the dimensions on the drawing. Both length and width calculations yield the same scale factor of 10.
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