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unit conversion tutorial treat squared units like in² as (in x in). thi…

Question

unit conversion tutorial
treat squared units like in² as (in x in). this means that we need to repeat the conversion twice. notice after canceling, your units are (ft x ft) which is ft².
1 ft = 12 in
how many ft² are in 5.76 in²?
5.76 in² = ft²

Explanation:

Step1: Recall conversion factor

Since \(1\ ft = 12\ in\), then \(1\ ft^{2}=(12\ in)\times(12\ in) = 144\ in^{2}\).

Step2: Set up conversion

We want to convert \(5.76\ in^{2}\) to \(ft^{2}\). Let \(x\) be the area in \(ft^{2}\). We use the proportion \(\frac{x\ ft^{2}}{5.76\ in^{2}}=\frac{1\ ft^{2}}{144\ in^{2}}\). Cross - multiplying gives \(x=\frac{5.76}{144}\).

Step3: Calculate result

\(x = 0.04\).

Answer:

\(0.04\)