SOLUTION: A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a sy

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a sy      Log On


   



Question 587812: A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a system of inequalities that models the possible dimensions of the garden. Graph the system to show all possible solutions.
I DON'T UNDERSTAND THE ENTIRE PROBLEM.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the distance around the perimeter, P
Let the length = L
Let the width = W
The formula for perimeter is:
+P+=+2L+%2B+2W+
given:
+2L+%2B+2W+%3C=+380+
+L+%2B+W+%3C=+190%0D%0Aand%0D%0A%7B%7B%7B+L+%3E=+110+
When the width is close to zero, I get
+L+%2B+0+%3C+190+
so, I can say:
------------
+190+%3E+L+%3E=+110+
+L+%2B+W+%3C=+190+
------------
If you plot +L+ on the horizontal and
+W+ on the vertical, the solutions are only valid between
+L+=+110+ and +L+=+190+
The line you plot looks like
+W+%3C=+-L+%2B+190+
which is the area under this line between
+L+=+110+ and +L+=+190+
+graph%28+400%2C+400%2C+-30%2C+210%2C+-30%2C+210%2C+-x+%2B+190+%29+