Use geometric methods to solve design problems under constraints such as cost, space, or ratios.
Write and evaluate a total-cost model from geometric measurements and unit prices
Problem
What is the total cost for this design situation: \(240~\text{square}~\text{feet}\) of flooring at \(4~\text{dollars}~\text{per}~\text{square}~\text{foot}\) plus \(60~\text{feet}\) of trim at \(2~\text{dollars}~\text{per}~\text{foot}\)?
Big Picture
What this problem is really about
Price each material separately using the rate that matches its measurement type. Area must pair with cost per square unit, while length must pair with cost per linear unit; in each product, the geometric units cancel and leave dollars. Only after producing comparable cost subtotals should they be added into one total-cost model.
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