What is the maximum area that can be enclosed in a rectangular shape with 100 feet of fence if one of the two long sides is not fenced (there is a natural boundary there)?
A) 1000 square feet
B) 2500 square feet
C) 625 square feet
D) 1250 square feet
E) none of these

Question

Quizplus · Accepted Answer

To maximize the area with one side unfenced, use the formula for the area of a rectangle A = x * (100 - 2x), where x is the width. Solving for maximum area using calculus or completing the square, the maximum area is 1250 square feet when x = 25 feet.

What Is the Maximum Area That Can Be Enclosed in a Rectangular