76.5k views
4 votes
a room is 16 feet ,8 inches long,and the ratio of the length to the width is 4 to 5.what is the width of the room?

1 Answer

6 votes

Solution

Given Data

Length of room = 16 feet + 8 inches

1 foot = 12 inches

16 feet = 16 x 12 = 192 inches

Total length of the room = 192 + 8 = 200 inches

width of room =x

The ratio of the length to the width is 4/5, therefore using ratio


\begin{gathered} (4)/(5)=(200)/(x)=\frac{length}{\text{width}} \\ 4x=1000 \\ (4x)/(4)=(1000)/(4) \\ x\text{ =2}50 \end{gathered}

Therefore, based on the ratio of the length to the width, the width has a value of 250

User Deekshith
by
3.9k points