Question

Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?Group of answer choices

Answer 1

Using the scale 1 inch = 5 feet, the dimension of 45 ft is equivalent to:

`\frac{1\text{ in}}{x\text{ in}}=\frac{5\text{ ft}}{45\text{ ft}}`

Solving for x:

`\begin{gathered} 1\cdot45\text{ = 5}\cdot x \\ (45)/(5)=x \\ 9\text{ in = x} \end{gathered}`

Similarly, the dimension of 75 ft is equivalent to:

`\begin{gathered} \frac{1\text{ in}}{y\text{ in}}=\frac{5\text{ ft}}{75\text{ ft}} \\ 1\cdot75\text{ = 5}\cdot y \\ (75)/(5)=\text{ y} \\ 15\text{ in = y} \end{gathered}`