Question

A rectangular park has an area of `2/3` square mile. The length of the park is `2 2/3` the width of the park. What is the width of the park?

Answer 1

The park has width of `1/2` mile and length of `1 1/3` mile.

Explanation:

Let `l` be the length and `w` width of the park.

Using the information given in the task we can write that:

`l*w=2/3`

and

`l= 2 2/3*w`

If we combine the equations we have:

`w*(2 2/3 w)=2/3`

`8/3*w^2=2/3`

`w^2=1/4`

`w=1/2`

Now we can calculate the length using:

`1/2 l=2/3`

`l=4/3`

So finally we can write that the park is `1/2` mile wide and `1 1/3` mile long.