Question

Jack lived on a farm and has a large backyard. the area of the rectangular backyard is 2/3 of a square mile. If the width of the yard is 3/4 of a mile, what fraction of a mile is the length of the rectangular backyard?

Answer 1

Answer:
`(8)/(9)`

Explanation:

Formula we use here:

`\text{Length}=\frac{\text{Area}}{\text{width}}`

Given : Jack lived on a farm and has a large backyard.

The area of the rectangular backyard is
`(2)/(3)` of a square mile.

If the width of the yard is
`(3)/(4)` of a mile, then the length of width will be :-

`\text{Length}=((2)/(3))/((3)/(4))\\\\=(2)/(3)*(4)/(3)=(8)/(9)`

Hence, the fraction of a mile is the length of the rectangular backyard=
`(8)/(9)`