Question

a rancher has 100 feet of fence with which to enclose three sides of a rectanglular meadow (the fourth side is a river and will not require fencing)Find the dimensions of the meadow with the largest possible area (for the purpose of this problem, the width will be smaller dimension needing two sides) the length will be the the longer domension (needing one side)length=___width=____area=____Help I am not understanding what this is asking and how to solve it

Answer 1

I was thinking about this

1.- Length = 50 ft width = 25 ft

Area = 1250 ft^2

2.- Length = 60 ft width = 20 ft

Area = 1200 ft^2

3.- Length = 70 ft width = 15 ft

Area = 1050 ft^2

We need the maximum area, so it must be similar the to first example

4.- Length = 40 width = 30 ft

Area = 1200

If we compare the areas, it is maximum when the length = 50 ft and the width = 25ft. Area = 1250 ft^2.