A farmer wants to set up a pigpen using 40 feet of fence to enclose a rectangular area of 51 square feet. Find the dimensions of the pigpen.

1 answer

L w = 51
2L + 2 w = 40 so L+w=20

51/w + w = 20

w^2 - 20 w + 51 = 0

w = [ 20 +/- sqrt (400 - 204)]/2

= [ 20 +/- 14]/2
so
3 by 17