document.write( "Question 288212: 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.\r
\n" ); document.write( "\n" ); document.write( "a.) Write a system of inequalities that models the possible dimensions of the garden.\r
\n" ); document.write( "\n" ); document.write( "b.) Graph the system to show all possible solutions \n" ); document.write( "

Algebra.Com's Answer #208931 by amnd(23) $\"\"$ $\"About$

You can put this solution on YOUR website!
a) The distance around a rectangle would be 2X + 2Y, with X = length and Y = width.\r
\n" ); document.write( "\n" ); document.write( "We know that X = 110, so the distance around would be 220 + 2Y. Since this value cannot be more than 380 ft (or, \"is less or equal to\" 380 ft), we can write it as this inequality system:\r
\n" ); document.write( "\n" ); document.write( " $\"220+%2B+2Y+%3C=+380\"$ , which can be simplified by dividing with 2:
\n" ); document.write( " $\"110+%2B+Y+%3C=+190\"$ , and if you want to separate Y from the numbers $\"Y%3C=80\"$ \r
\n" ); document.write( "\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "b) This would simply yield a straight line on 80, and since I assume that Y > 0 (or else we wouldn't have a garden!), the possible solutions would be between 0 and 80 (the inequality system would be $\"0+%3C+Y+%3C=+80\"$ . The line Y = 0 should be dashed (since Y > 0) while Y = 80 should be a full line (since it's \"less or EQUAL to\"). Shade in the area between these two lines (or you can draw in X = 110, and this would yield a single line containing possible values for Y between 0 and 80).
\n" ); document.write( "I hope this is understandable :) \n" ); document.write( "

\n" );