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

Respuesta :

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

[tex]\frac{1\text{ in}}{x\text{ in}}=\frac{5\text{ ft}}{45\text{ ft}}[/tex]

Solving for x:

[tex]\begin{gathered} 1\cdot45\text{ = 5}\cdot x \\ \frac{45}{5}=x \\ 9\text{ in = x} \end{gathered}[/tex]

Similarly, the dimension of 75 ft is equivalent to:

[tex]\begin{gathered} \frac{1\text{ in}}{y\text{ in}}=\frac{5\text{ ft}}{75\text{ ft}} \\ 1\cdot75\text{ = 5}\cdot y \\ \frac{75}{5}=\text{ y} \\ 15\text{ in = y} \end{gathered}[/tex]