document.write( "Question 6461: Help! I'm getting frustrated with these story problems!\r
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document.write( "1. A triangle has a perimeter of 75 meters. The length of the second side is 5 more than the first side. The length of the third side is double the second side less 2 meters. What is the length of each side.\r
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document.write( "2. The length of Betty's rectangular garden is 6 more than 2 times the width. I fthe perimeter is 84 feet, find the dimensions of her garden.\r
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document.write( "3. A piece of taffy 9 inches long was cut into 3 pieces. The longest piece is twice as long as the shortest piece. The medium piece is 1 inch more than the shortest piece. Find the length of the 3 pieces.\r
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document.write( "4. The perimeter of a picture frame is 50inches. The width is 3 less than the length. What is the size of the frame?\r
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document.write( "Please Help, Please Help \n" );
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Algebra.Com's Answer #3512 by srinivas123(23)![]() ![]() ![]() You can put this solution on YOUR website! 1. \n" ); document.write( "let the first side be x \n" ); document.write( "Then given that second side is 5 more than first side . \n" ); document.write( "So, second side is x+5 \n" ); document.write( "From the given data we have that \n" ); document.write( "third side is 2(x+5) - 2.\r \n" ); document.write( "\n" ); document.write( "The perimeter is sum of three side x+x+5+2x+10-2. \n" ); document.write( "---> 4x+13=75 \n" ); document.write( "---> 4x=62 \n" ); document.write( "---> x= 15.5 mt.\r \n" ); document.write( "\n" ); document.write( "first side is 15.5 mt second side is 20.5 mt and third side is 39 mt.\r \n" ); document.write( "\n" ); document.write( "2. Given that perimeter is 84 feet. \n" ); document.write( "Perimeter of the garden = 2(l+b) \n" ); document.write( "let the width be x \n" ); document.write( "Then lenth is 2x+6\r \n" ); document.write( "\n" ); document.write( "----> 84=2(x+2x+6) \n" ); document.write( "----> 84=6x+12. \n" ); document.write( "----> x= 72/6= 12.\r \n" ); document.write( "\n" ); document.write( "So the width is 12 feet and length is 30.\r \n" ); document.write( "\n" ); document.write( "3. \n" ); document.write( "Total length = 9 inch. \n" ); document.write( "let the shortest piece be x inch. \n" ); document.write( "Then the second piece is x+1 inch. \n" ); document.write( "Third piece is twice the shortest so it is 2x.\r \n" ); document.write( "\n" ); document.write( "Total length is x+x+1+2x = 9 inch \n" ); document.write( "----> 4x = 9-1=8 inch \n" ); document.write( "---- > x= 8/2 = 2 inch. \n" ); document.write( "Hence the shortest piece is 2 inch \n" ); document.write( "The medium piece is 3 inch. \n" ); document.write( "And the third piece is 4 inch.\r \n" ); document.write( "\n" ); document.write( "4.\r \n" ); document.write( "\n" ); document.write( "Let the length be x. \n" ); document.write( "Then given that width is 3 less , so width is x-3. \n" ); document.write( "perimeter 2(x+x-3) = 50. \n" ); document.write( "----> 4x= 56 \n" ); document.write( "----> x = 14.\r \n" ); document.write( "\n" ); document.write( "Hene the lenght of the Frame is 14 inch and the width is 11 inch.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |