Question

The ratio of width to length in a recreation room is the same as in the dining room. The dining room measures 12 feet wide by 15 feet long. If the recreation is 16 feet wide, how long is it

Answer 1

The length of the recreation room is 20 feet.

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 =
`(12)/(15)=(4)/(5)`

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;

`(16)/(l)=(4)/(5)`

Now using cross multiplication, we get;

`4l=16*5`

`4l=80`

Now dividing both side by '4', we get;

`(4l)/(4)=(80)/(4)\\\\l=20\ ft`

Hence The length of the recreation room is 20 feet.