Question

a horticulturalist is building a fence around a rectangular garden using the side of a building for one side of the enclosure. she has 81 feet of fencing. what should the dimensions of the enclosre be so that she can maxmize the gardens area?

Answer 1

The garden area is maximum when the enclosure is a square.
If a is the length of the side of the square then the length of the building is also a.
The perimeter length is 4a made up of 81+a feet, so 81+a=4a and 3a=81 making a=27 feet.