Question

Please help! : What is the actual length of a window that is 1 1/4 inches long on a drawing with a scale of 1 inch= 6 feet? This is on my ratios and proportions homework.The answers are : a.7 1/2 b. 7 3/4 c. 6 3/4 d. 7feet

Answer 1

$\bf \begin{array}{ccllll} model&actual\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 1&6\\ 1\frac{1}{4}&x \end{array}\implies \cfrac{1}{1\frac{1}{4}}=\cfrac{6}{x} \\\\\\ 1\frac{1}{4}\implies \cfrac{1\cdot 4+1}{4}\implies \cfrac{5}{4}\qquad thus$

$\bf \cfrac{1}{\frac{5}{4}}=\cfrac{6}{x}\implies \cfrac{\frac{1}{1}}{\frac{5}{4}}=\cfrac{6}{x}\implies \cfrac{1}{1}\cdot \cfrac{4}{5}=\cfrac{6}{x}\implies \cfrac{4}{5}=\cfrac{6}{x} \\\\\\ x=\cfrac{5\cdot 6}{4}$