SOLUTION: 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 lengt
Algebra.Com
Question 149718: 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 128 ft squared, how many feet of fencing should be purchased?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
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 128 ft squared, how many feet of fencing should be purchased?
.
Draw a diagram of the situation -- it is important so you can visualize what is going on.
.
Let x = measure of sides perpendicular to barn
then
2x = measure of side parallel to barn
.
area = x(2x) = 2x^2
128=2x^2
64 = x^2
8 ft = x (measure of side that is perpendicular to the barn)
2x = 16 ft (measure of side that is parallel to the barn)
.
fencing required is the perimeter.
perimeter = x+x+2x = 4x = 4(8) = 32 ft
RELATED QUESTIONS
A farmer plans to enclose a rectangular region, using part of his barn for one side and... (answered by checkley77)
A farmer plans to enclose a rectangular region, using part of his barn for one side and... (answered by mananth)
A farmer plans to enclose a rectangular region, using part of his barn for one side and... (answered by jsmallt9)
A farmer plans to enclose a rectangular region, using part of his barn for one side and... (answered by josgarithmetic)
A farmer considers using one wall of the barn for one side of enclosure and 40 meters of... (answered by rosey51235)
A farmer wants to enclose a rectangular area next to his barn. He has 740 feet of fencing (answered by Alan3354)
I have been struggling to figure out this math problem and I was wondering if someone... (answered by scott8148)
Mike wants to enclose a rectangular area alongside his barn using 30 feet of fencing.... (answered by TimothyLamb)
Randy is building a rectangular, fenced dog run beside his barn. He has a budget of $1050 (answered by ankor@dixie-net.com)