SOLUTION: A farmer has purchased a new plot of rectangular land for planting the family crop. The length of his new plot is 4 times long as it is wide. He was told that the area of the land

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A farmer has purchased a new plot of rectangular land for planting the family crop. The length of his new plot is 4 times long as it is wide. He was told that the area of the land       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 544967: A farmer has purchased a new plot of rectangular land for planting the family crop. The length of his new plot is 4 times long as it is wide. He was told that the area of the land was 192 square meters. Help the farmer out by finding the length and width of his land and how many meters of ending he will need to enclose the new plot.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +L+ = length
Let +W+ = width
given:
+L+=+4W+ m
+L%2AW+=+192+ m2
--------------
By substitution:
+4W%2AW+=+192+
+4W%5E2+=+192+
+W%5E2+=+48+
+W%5E2+=+16%2A3+
+W+=+4%2Asqrt%283%29+ m
and, since
+L+=+4W+
+L+=+16%2Asqrt%283%29+ m