what is the largest area that can be enclosed

Question

"A homeowner has a 100 feet of fencing and wants to section off a corner of her yard for a chicken pin. She will enclose a Rectangular plot that using the current fencing in the corner. what is the largest area that can be enclosed"

Answer 1

Draw and label a diagram!

Assuming the 100 feet make up two sides of the pen

A = x(100 - x)

A = -x² - 100x

Maximum at -b/2a, or 50. The area is 2500 ft²