Question

Course2(7) Crown molding is a decorative trim installed over the joint between the walls of a roomand the ceiling. (If you are not sure that you understand the idea, do an Internet search tofind an example picture of crown molding). Andy intends to install crown molding around thefour sides of the dining room. There will be no gaps. The dining room ceiling is a rectanglewith dimensions 14 feet 9 inches by 13 feet. The crown molding is sold in 8-foot lengths thatcost $24 each. He decides to purchase enough pieces to allow for 10% waste due topossible mistakes.what is the perimeter of the dining room?

Answer 1

The room is a rectangle. This means it has opposite sides with the same measure. So, two of the sides measure 14 ft 9 in, and the two other sides measure 13 ft.

Thus, the perimeter is the sum of the measures of all four sides:

`2\cdot(14\text{ft}+9\text{in})+2\cdot(13\text{ft})=28\text{ft}+18\text{in}+26\text{ft}=54\text{ft}+18\text{in}`

Now, notice that we can also convert 18in to ft:

`\begin{gathered} 18\text{in}=1.5\text{ft} \\ \\ \Rightarrow54\text{ft}+18\text{in}=(54+1.5)\text{ft}=55.5\text{ft} \end{gathered}`

So, the perimeter of the dining room is 55.5 feet.