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.

Respuesta :

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

[tex]P = 2l + 2w[/tex]

Where:

l: is the length of the rectangle

w: Is the width of the rectangle

According to the data of the statement we have:

[tex]P = 440 \ yards\\l = w + 30[/tex]

Substituting we have:

[tex]440 = 2 (w + 30) + 2w\\440 = 2w + 60 + 2w\\440 = 4w + 60\\440-60 = 4w\\380 = 4w\\w = \frac {380} {4}\\w = 95 \ yards[/tex]

So the length is:

[tex]l = 95 + 30 = 125 \ yards[/tex]

Answer:

[tex]w = 95 \ yards\\l = 95 + 30 = 125 \ yards[/tex]