Question

try 3
baseboards cost $0.35/ft. how much would it cost to finish the following room?
69\
102\
24\

Explanation:

Step1: Convert inches to feet

• \(9\) inches \(=\frac{9}{12}= 0.75\) feet, so \(6'9''=6 + 0.75=6.75\) feet.
• \(2\) inches \(=\frac{2}{12}=\frac{1}{6}\approx0.17\) feet, so \(10'2'' = 10+\frac{1}{6}\approx10.17\) feet.
• \(4\) inches \(=\frac{4}{12}=\frac{1}{3}\approx0.33\) feet, so \(2'4''=2+\frac{1}{3}\approx2.33\) feet.

Step2: Calculate the perimeter of the room

The formula for the perimeter of a rectangle is \(P = 2(l + w)\). But we need to account for the door - like opening.
The total length of the two lengths of the rectangle (excluding the opening) is \(2\times10.17\) feet.
The total length of the two non - opening widths is \(2\times(6.75 - 2.33)\) feet.

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Step3: Calculate the cost

The cost formula is \(C=\text{Cost per foot}\times\text{Perimeter}\). Given the cost per foot \(c = 0.35\) dollars/foot.
\(C=0.35\times29.18 = 10.213\approx10.21\) dollars

Answer:

\(10.21\) dollars