Question

A rectangle park had an area of 2 2/3 the width of the park. What is the width of the park

Answer 1

Answer:
`width=(1)/(4)\ mi`

Explanation:

The complete exercise is: "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"

The first step you must apply in order to find this exercise, is to convert from Mixed number to Improper fraction through this procedure:

1. Multiply the Whole number part by the denominator of the fraction.

2. Add that product obtained to the numeratir of the fraction.

3. The denominator does not change.

Then:

`2 (2)/(3)=((2*3)+2)/(3)=(6+2)/(3)=(8)/(3)`

According to the information given in the exercise, the area of the rectangular park is:

`A=(2)/(3)\ mi^2`

Since the area is
`(8)/(3)` the width of the rectangular park, you can write the following equation:

`A=(8)/(3)w`

Now you must substitute the area into the formula and then you must solve for "w" in in order to find the width of the park. Therefore, you get this is:

`(2)/(3)=(8)/(3)w\\\\((2)/(3))((3)/(8))=w\\\\(6)/(24)=w\\\\w=(1)/(4)\ mi`