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

Question

Hana Yates

Mathematics

22 June, 08:55

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

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Answers (1)

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Sonny Potts · Answer 1

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