Question

If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?

Answer 1

Now, recalling that for 1 yard, there are 3 feet, therefore  $\bf \begin{array}{ll} yards&feet\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1yd&3ft\\ (1yd)^2&(3ft)^2\\ yd^2&3^2ft^2\\ &9ft^2 \end{array}$

and keeping in mind that, there are 4840 yd² in 1 acre, then 

$\bf \cfrac{\quad \frac{3}{4}~\underline{acre}\quad }{80000~\ }\cdot \cfrac{4840~\underline{yd^2}}{\underline{acre}}\cdot \cfrac{9~ft^2}{\underline{yd^2}}\implies \cfrac{\frac{3}{4}\cdot4840\cdot 9~ft^2}{80000~\ }\implies \cfrac{\frac{130680}{4}}{80000} \\\\\\ \cfrac{\frac{130680}{4}}{\frac{80000}{1}}\implies \cfrac{130680}{4}\cdot \cfrac{1}{80000}\implies \cfrac{3267}{8000}~\frac{ft^2}{\ }~\approx~ 0.408375 ~\frac{ft^2}{\ }$