SOLUTION: Peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller square feed lots. If he uses 480 ft of fencing, then how much area will be

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Question 50639This question is from textbook College Algebra
: Peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller square feed lots. If he uses 480 ft of fencing, then how much area will be filled in?
The answer in the back of the book is 6400ft squared. This question is from textbook College Algebra

Found 3 solutions by stanbon, checkley71, rapaljer:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the picture of the fenced lot.
Let each side of the square be "x"
Then two cross pieces will also be of length "x"
EQUATION:
6x=480 ft
x=80 ft.
Area = x^2 = 80^2 = 6400 sq. ft.
Cheers,
Stan H.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE SQUARE AREA WILL NEED 4X FENCING AND THE FENCE DIVIDING THE AREA INTO 4 SQUARE AREAS WILL NEED 2X FENCING THEREFORE THE TOTAL FENSING WILL BE 6X FENCING THEN 6X=480 OR X=80FT. SO THE TOTAL AREA IS 80^2 OR 6400 SQFT.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
If he fences in the square that would be 4 equal distances (sides). If he subdivides this square to divide it into four smaller squares, then that would be two additional sides each side being equal to the four sides of the square. This means that he has fenced a total of 6 equal distances of fence amounting to 480 feet. Divide the 480 feet by 6, and that means that each side of the large square will be 80 feet. The total area of this square will be 80%5E2=+6400+ square feet or 6400 ft. squared.

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