Question

Farmer Bill needs 440 yards of fence for a rectangular garden. The length is 30 yards longer than the width. Find the length of the garden in yards.

Answer 1

For this case we have that by definition, the perimeter of a rectangle is given by:

`P = 2l + 2w`

Where:

l: is the length of the rectangle

w: Is the width of the rectangle

According to the data of the statement we have:

`P = 440 \ yards\\l = w + 30`

Substituting we have:

`440 = 2 (w + 30) + 2w\\440 = 2w + 60 + 2w\\440 = 4w + 60\\440-60 = 4w\\380 = 4w\\w = \frac {380} {4}\\w = 95 \ yards`

So the length is:

`l = 95 + 30 = 125 \ yards`

Answer:

`w = 95 \ yards\\l = 95 + 30 = 125 \ yards`