document.write( "Question 178601: 1. Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 3 feet shorter and the other 2 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 32 feet, so that it does not cover a huge area of the garden. Determine the maximum length of each side of the triangular area that Jenny has visualized \n" ); document.write( "
Algebra.Com's Answer #133802 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a side of the triangular area 3 feet shorter and the other 2 feet longer than \n" ); document.write( " the third side. She also wants to restrict the perimeter of the triangular \n" ); document.write( " area to 32 feet, so that it does not cover a huge area of the garden. \n" ); document.write( " Determine the maximum length of each side of the triangular area. \n" ); document.write( ": \n" ); document.write( "let x = length of the third side \n" ); document.write( "then \n" ); document.write( "(x-3) = length of the 1st side \n" ); document.write( "and \n" ); document.write( "(x+2) = length of the 2nd side \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Add the three sides to get the given perimeter \n" ); document.write( "(x-3) + (x+2) + x = 32 \n" ); document.write( "x + x + x - 3 + 2 = 32 \n" ); document.write( "3x - 1 = 32 \n" ); document.write( "3x = 32 + 1 \n" ); document.write( "3x = 33 \n" ); document.write( "x = \n" ); document.write( "x = 11 ft is the third side \n" ); document.write( "; \n" ); document.write( "I'll let you determine the other two sides, make sure they add up to 32. \n" ); document.write( " |