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
Algebra.Com
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) (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) (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) (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 square feet or 6400 ft. squared.
R^2 at SCC
RELATED QUESTIONS
if it takes 600 feet of wire fencing to fence a rectangular feed lot that has a width of... (answered by HasanSahin)
A cattle rancher has 2600 feet of fencing
that will be used to enclose a... (answered by stanbon)
An old fence used to enclose a circular lot is to be recycled to fence a square lot. If... (answered by ankor@dixie-net.com)
If a square parking lot has an area of 12,996 square yards, what would be the length of... (answered by josmiceli,Alan3354,josgarithmetic)
A rectangular lot, whose area is 210 meter square, has one of its longer sides next to a... (answered by vleith)
Mr. Cruz bought a rectangular lot if he needed 78 metres of chicken wire to fence the... (answered by Cromlix)
A 1000 square yard rectangular lot along a highway is to be fenced off such that one side (answered by ikleyn)
a 1000 square yard rectangle lot along a highway is to be fenced off such that one side... (answered by ikleyn)
if it takes 600 feet of fence to enclose a rectangular lot that is 132 feet then how deep (answered by Alwayscheerful,wuwei96815)