document.write( "Question 148570This question is from textbook
\n" );
document.write( ": Could you please tell me how to go about this solving this problem. I don't know where to begin. Thanks\r
\n" );
document.write( "\n" );
document.write( " 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 6 feet shorter and the other 5 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 29 feet, so that it does not cover a huge area of the garden. Determine the length of each side of the triangular area that Jenny has visualized. \n" );
document.write( "
Algebra.Com's Answer #108928 by aswathytony(47)![]() ![]() ![]() You can put this solution on YOUR website! let the third side of the triangle be x.\r \n" ); document.write( "\n" ); document.write( " given one side is 6 feet shorter than third side \n" ); document.write( "i.e. first side = x - 6 \r \n" ); document.write( "\n" ); document.write( " second side is 5 feet longer than third side \n" ); document.write( " second side = x + 5 \r \n" ); document.write( "\n" ); document.write( " given perimeter = 29 \n" ); document.write( "i.e sum of three sides = 29 \r \n" ); document.write( "\n" ); document.write( " (x-6) + (x+5) + x = 29 \n" ); document.write( " x + x + x - 6 + 5 = 29 \r \n" ); document.write( "\n" ); document.write( " 3x - 1 = 29 \n" ); document.write( " 3x = 29 +1 = 30 \n" ); document.write( " x = 30 / 3 = 10 \r \n" ); document.write( "\n" ); document.write( " x - 6 = 10 - 6 = 4 \n" ); document.write( " x + 5 = 10 + 5 = 15 \n" ); document.write( " i.e sides of the triangle are 4 feet, 15 feet & 10 feet. \n" ); document.write( " |