Hi! I'm working on my homework. I need a little help with this question. Does someone mind helping?

You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

125 ft x 200 ft

100 ft x 105 ft

300 ft x 200 ft

105 ft x 120 ft

Question

Hi! I'm working on my homework. I need a little help with this question. Does someone mind helping?

You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?
    		
    125 ft x 200 ft
    		
    100 ft x 105 ft
    		
    300 ft x 200 ft
    		
    105 ft x 120 ft

shirley27 · Answer

First you have to make an equation for this question, do you have an idea?

anonymous · Answer

Yes. I know that 3x+2y=1200

shirley27 · Answer

w = width and l = length

3w + 2l = 1200
w*l = area

If you isolate the first equation for l, you get:
l = 600 - 3/2w

Then you could plug this into the second equation to get a parabolic formula. By finding the maximum value through either graphing or completing the square, you could find the maximum area.

anonymous · Answer

okay... im a little lost... do i need my graphing calculator? i know ive done this without one before...

misssunshinexxoxo · Answer

Are you familiar with area?

shirley27 · Answer

I think i've complicated things a little

anonymous · Answer

yes. i kinda know how to do this, but all my ways have failed

misssunshinexxoxo · Answer

Be confident I'll walk you through this

anonymous · Answer

okay

misssunshinexxoxo · Answer

do you have a calculator?

misssunshinexxoxo · Answer

tell me what is 300 x 300?

anonymous · Answer

90,000

misssunshinexxoxo · Answer

ok we have 4 sides; the answer is C