Answer:
Question 1
Given scale: 1 in = 10 ft
[tex]\textsf{Therefore, the scale as a ratio}=\sf \dfrac{\boxed{10}\:ft}{\boxed{1}\:in}[/tex]
Question 2
The ratio of the garden's actual length to its length in the drawing:
[tex]\sf \dfrac{x\:ft}{0.75\:in}[/tex]
Question 3
Therefore, the proportion is:
[tex]\sf \dfrac{10\:ft}{1\:in}=\dfrac{x\:ft}{0.75\:in}[/tex]
Question 4
Multiply both sides of the proportion by 0.75 to find x
Question 5
[tex]\begin{aligned}\textsf{Proportion}: \quad \quad \;\sf \dfrac{10\:ft}{1\:in} & = \sf \dfrac{x\:ft}{0.75\:in}\\\\\textsf{Mulitply both sides by 0.75}: \quad \sf 0.75\cdot \dfrac{10}{1} & = \sf 0.75 \cdot \dfrac{x}{0.75}\\\\\textsf{Simplify}: \quad \quad \quad \sf 7.5 & = \sf x\end{aligned}[/tex]
Therefore, the actual length of the garden is 7.5 ft
