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

Respuesta :

Answer:

The length and the width of the garden is equal to [tex]l=8\ ft[/tex]

Step-by-step explanation:

Let

l -----> the length

w----> the width

we have

[tex]l=\frac{64}{w}[/tex] ------> equation A

If the garden is a square

then

l=w

substitute in the equation A

[tex]l=\frac{64}{l}[/tex]

[tex]l^{2}=64[/tex]

square root both sides

[tex]l=8\ ft[/tex]

therefore

The length and the width of the garden is equal to [tex]l=8\ ft[/tex]