math
posted by brit .
A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 512 ft2, how many feet of fencing should be purchased?

make a sketch,
label the two shorter sides x
and the one longer side 2x (it is twice as long)
so x(2x) = 512
2x^2 = 512
x^2 = 256
x = √256 = 16
so he needs 3x of fencing or 48 feet
Respond to this Question
Similar Questions

Math
A farmer has 80 feet of fencing, which she plans to use to fence in a plot of land for a pigpen. If she chooses to enclose a plot along the broad side of her barn, what is the largest area that can be enclosed? 
Algebra 2
A farmer has 120 ft. of fencing available to enclose 2 adjacent rectangular pens alongside his barn. NO fencing is required along the bard side. He needs to have a total of 930 sq.ft. Determine the width (x) and the combined length … 
math
Farmer Hodges has 50 feet of fencing to make a rectangular hog pen beside a very large barn. He needs to fence only three sides because the barn will form the fourth side. Studies have shown that under those conditions the side parallel … 
Algebra
A farmer plans to enclose a rectangular region using part of his barn for one side and fencing for remaining sides. The area of the region is maximized when the width is 30 feet. a.) write an equation that could model the area as a … 
Calculus
A farmer has 120 meters of wire fencing to make enclosures for his pigs and cows. The rectangular enclosure he is considering will have one side up against a barn (in the center of one side that is 150 meters long, so the enclosure … 
calculus optimization problem
A farmer has 460 feet of fencing with which to enclose a rectangular grazing pen next to a barn. The farmer will use the barn as one side of the pen, and will use the fencing for the other three sides. find the dimension of the pen … 
math
a rectangular garden with an area of 2112 square feet is to be located next to a barn with fencing on three sides and the barn acting as the fourth side.Write a function that gives the length of fencing needed if the length of the … 
Math
Farmer wants to enclose a rectangular area that is 600 sq. ft. He is using his barn for one of the sides. The barn is 30 feet long and he does not want the pen to extend longer than the barn. How much fencing will need to be purchased? 
Math(HELP!)
A farmer has 120 feet of fencing to enclose a rectangular plot for some of his animals. One side of the area borders on a barn. a.) If the farmer does not fence the side along the barn, find the length and width of the plot that will … 
math
a. A rectangular pen is built with one side against a barn. 1200 m of fencing are used for the other three sides of the pen. What dimensions maximize the area of theâ€‹ pen?