SOLUTION: Charles wants to build a vegetable garden such that three sides of the garden are fenced and the fourth side of the garden will be the existing back fence. He has 30 feet of fencin

Question 211280: Charles wants to build a vegetable garden such that three sides of the garden are fenced and the fourth side of the garden will be the existing back fence. He has 30 feet of fencing available. Find the dimensions of the garden that will produce the maximum enclosed area.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
30/4=7.5 ft. is the depth of the fence.
So we have a 7.5 by 15 by 7.5 rectangle.
7.5*15=112.5 ft^2 is the ans. for the maximum area.
30/3=10 if it were a square garden.
10*10=100 ft^2.

RELATED QUESTIONS
a rectangular garden is fenced on three sides with a wall forming the fourth side. The... (answered by macston)

A rectangular garden is fenced on three sides with a wall forming the fourth side. the... (answered by josgarithmetic)

A farmer wants to make a vegetable garden such that length is 3 meters longer than the... (answered by Theo)

a backyard farmer wants to enclosed a rectangular space for a new garden withen her... (answered by greenestamps)

A rectangular garden is to be fenced with 100 meters of fencing. The wall of the house... (answered by nerdybill)

You have 180 yards of fencing to use on three sides of a garden. The fourth side is the... (answered by Fombitz)

A farmer has 120 meter of fence material. He wants to build a vegetable garden. If he... (answered by cleomenius)