SOLUTION: daniel is planning to enlarge his square cattle pasture so that the new fence encloses two times the area of the present pasture. He wants the pasture to remain square. The origina

Algebra ->  Average -> SOLUTION: daniel is planning to enlarge his square cattle pasture so that the new fence encloses two times the area of the present pasture. He wants the pasture to remain square. The origina      Log On


   

Question 1157626: daniel is planning to enlarge his square cattle pasture so that the new fence encloses two times the area of the present pasture. He wants the pasture to remain square. The original fence is 200 feet long on each side. How long does one side of the new fence need to be?
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = a side of the original square pasture
Let +A+ = the area of the original square pasture
---------------------------
+s+=+200%2F4+
+s+=+50+ ft
+A+=+s%5E2+
+A+=+50%5E2+
+A+=+2500+
----------------------
+2A+=+2%2A2500+
+2A+=+5000+
Let +s%5B1%5D+ = a side of the new square pasture
+s%5B1%5D%5E2+=+5000+
Take the square root of both sides
+s%5B1%5D+=+70.711+
70.711 ft
check the math & get a 2nd opinion if needed

Answer by greenestamps(13214) About Me  (Show Source):
You can put this solution on YOUR website!


200 feet is the length of ONE side of the pasture.

If the area is doubled (multiplied by 2) and the pasture remains square, then the side length is multiplied by sqrt(2).

ANSWER: 200%2Asqrt%282%29 or about 282.8 feet