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?
The ratio of the measurements will be the same, so set them up as fractions that are equal to each other; x represents the width we are looking for.
9ft/12ft=xft/1ft
Just cross multiply.
91=12x
9=12x
(divide both sides by 12)
x=9/12
(simplify)
x=3/4 ft
Answer:
16 inches.
Step-by-step explanation:
Let x represent the width of the drawing.
We have been given that Suki has a 9 foot by 12 foot oriental rug. She is making a scale drawing of the rug that is 1 foot long. We will use proportions to solve our given problem as:
\(\frac{\text{Width of drawing}}{\text{Length of drawing}}=\frac{\text{Width of rug}}{\text{Length of rug}}\)
Let us convert our given sides into inches.
1 feet = 12 inches.
9 feet = 912 inches = 108 inches
12 feet = 1212 inches = 144 inches
Upon substituting our given values in our proportion, we will get:
\(\frac{x}{12}=\frac{144}{108}\)
\(\frac{x}{12}\cdot 12=\frac{144}{108}\cdot 12\)
\(x=\frac{144}{9}\cdot 1\)
\(x=16\)
Therefore, the diagram should be 16 inches wide.