Question

Organizers of an outdoor concert will use 320 feet of fencing to fence off a rectangular VIP section. What is the maximum area that they can fence off? A) 3,200 square feet B) 6,400 square feet C) 12,800 square feet D) 24,000 square feet

Answer 1

B

Explanation:

Answer 2

2(l+w)=320

l+w= 160

l=160-w

lw=A

160w-w²= A

w²-160w+A=0


w max= -b/(2a)= 160/2= 80 ft


Max A = 160(80)-(80)²= 6400 ft²

So B is correct