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

Answer:

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

Step-by-step explanation:

Let

l -----> the length

w----> the width

we have

$l=\frac{64}{w}$ ------> equation A

If the garden is a square

then

l=w

substitute in the equation A

$l=\frac{64}{l}$

$l^{2}=64$

square root both sides

$l=8\ ft$

therefore

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