Question

The length of a rectangular fenced enclosure is 12 feet more than the width. If Farmer Dan has 100 feet of fencing, write an inequality to find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing.

Answer 1

Let l length, w width, p perimeter:

l=12+w

2(l+w)=p

2((12+w)+w)= 100

2(12+2w)=100

12+2w=50

2w=38

w=19

l=12+w=12+9= 21

l=21