Question

you are installing crown molding around the perimeter of a dining room. the room is rectangular and is 12 feet long and 10 feet wide. crown molding is sold in 78 - inch segments. how many segments of crown molding should be bought to complete the job? *hint: remember that you are using two different units of measure so you must convert feet to inches to solve this problem. 1 foot = 12 inches also remember that you cannot buy portions of a segment of crown mold so you will need to round up. i will need segments of crown molding.

Explanation:

Step1: Calculate the perimeter in feet

The formula for the perimeter of a rectangle is $P = 2(l + w)$. Given $l = 12$ feet and $w = 10$ feet. So $P=2(12 + 10)=2\times22 = 44$ feet.

Step2: Convert the perimeter to inches

Since 1 foot = 12 inches, then the perimeter in inches is $44\times12=528$ inches.

Step3: Determine the number of segments

Divide the total length in inches by the length of each segment. Let $n$ be the number of segments. $n=\frac{528}{78}\approx6.77$.

Step4: Round up the number of segments

Since we can't buy partial - segments, we round up $6.77$ to 7.

Answer:

7