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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?

Verified Answer :

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,

  • Length = 9 foot
  • Width = 12 foot

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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