Suki has a 9 foot by 12 foot oriental rug. She is making a scale drawing of the rug that is 1 foot long. How many inches wide should the diagram be?
1.3 inches is the length of the second side because the first side has to be shorter
Diagram should be 16 inches wide.
Suki has a oriental rug with the dimensions as,
Scale factor by which the scale drawing has been made,
Scale factor = \(\frac{\text{Dimension of the scale drawing}}{\text{Dimension of the oriental rug}}\)
= \(\frac{1}{9}\) ft.
By using scale factor for the measure of the width,
Scale factor = \(\frac{\text{Width of the scale drawing}}{\text{Width of the oriental rug}}\)
\(\frac{1}{9}=\frac{x}{12}\)
\(x=\frac{12}{9}\)
\(x=\frac{4}{3}\) feet
Since, 1 feet = 12 inches
Therefore, measure of the width of the oriental rug = \(\frac{4}{3}\times 12\)
= 16 inches.
Hence, diagram should be 16 inches wide.
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