Question

a farmer needs a rectangular garden that is 64 square feet in area. the length varies inversely with the width. You can use l = 64/w. find the length and the width of the garden if it is a square

Answer 1

The length and the width of the garden is equal to
`l=8\ ft`

Explanation:

Let

l -----> the length

w----> the width

we have

`l=(64)/(w)` ------> equation A

If the garden is a square

then

l=w

substitute in the equation A

`l=(64)/(l)`

`l^(2)=64`

square root both sides

`l=8\ ft`

therefore

The length and the width of the garden is equal to
`l=8\ ft`