Question

A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 15 ft longer than the width. The farmer can only afford no more than 150 ft of fencing. What is the pen's greatest possible length?  EXPLAIN YOUR ANSWER. PPPPLEASE AND THANK YOU.

Answer 1

The largest possible perimeter is 150 ft. We can write an equation for perimeter by knowing that the perimeter of a rectangle is 2w + 2l.


`2w + 2(w+15)` = 150

Distribute the 2 and combine like terms.


`2w + 2w + 30 = 150`


`4w = 120`


`w=30`

The length is 15 feet longer than the width, so add 15 to 30 to get 45 feet as the answer.