Respuesta :
Answer:
The length of the recreation room is 20 feet.
Step-by-step explanation:
Given,
For dining room;
width = 12 ft
length = 15 ft
We have to find the length of the recreation room.
Solution,
firstly we will calculate the ratio of width to length of dining room.
Ratio = [tex]\frac{12}{15}=\frac{4}{5}[/tex]
Now for recreation room;
width = 16 ft
Let the length of the recreation room be 'l'.
Since the question said, the ratio of width to length in a recreation room is the same as in the dining room.
So we can say that;
[tex]\frac{16}{l}=\frac{4}{5}[/tex]
Now using cross multiplication, we get;
[tex]4l=16\times5[/tex]
[tex]4l=80[/tex]
Now dividing both side by '4', we get;
[tex]\frac{4l}{4}=\frac{80}{4}\\\\l=20\ ft[/tex]
Hence The length of the recreation room is 20 feet.
