The students in class are building a rectangular float for a homecoming parade. The float will be 6 feet wide by 10 feet long. The students made a scale drawing of the float that is 14 inches long. What is the approximate width of the scale drawing of the float?

Respuesta :

The scale drawing of the float is shown to be 14 inches long. The actual float has its length as 10 feet long. That means the scale used is;

[tex]\begin{gathered} \text{Scale}=\frac{14}{120} \\ \text{Note that 10 f}eet\text{ equals (10 x 12) 120 inches } \\ \text{Scale}=\frac{7}{60} \\ \text{For the width of the scale drawing, we use the scale as follows;} \\ \text{Scale}=\frac{7}{60}\times\text{actual} \\ \text{Scale}=\frac{7}{60}\times72 \\ \text{Scale}=\frac{7}{5}\times6 \\ \text{Scale =}\frac{42}{5} \\ \text{The width of the scale drawing is 8}\frac{2}{5} \\ \text{The approx}imate\text{ width therefore is 8 inches} \\ \text{This is because }\frac{2}{5}\text{ or 0.4 cannot be approx}imated\text{ to a whole number} \end{gathered}[/tex]

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