document.write( "Question 624: I'm having some trouble with these problems. Please Help\r
\n" );
document.write( "\n" );
document.write( "1. The perimeter of a rectangular lot is 222 feet. if the length is 33 feet shorter than twice the width, write an equation and then find the length and width of the lot.\r
\n" );
document.write( "\n" );
document.write( "2. An 18 foot board is cut into three pieces. the second piece is four times as long as the first piece and the third is 2 feet longer than the first piece. write an equation and then find the lengths of the three pieces.\r
\n" );
document.write( "\n" );
document.write( "Thank you \n" );
document.write( "
Algebra.Com's Answer #208 by AnlytcPhil(1810) You can put this solution on YOUR website! I'm having some trouble with these problems. Please Help \n" ); document.write( "` \n" ); document.write( "1. The perimeter of a rectangular lot is 222 feet. if the length is 33 feet \n" ); document.write( "shorter than twice the width, write an equation and then find the length and \n" ); document.write( "width of the lot. \n" ); document.write( "` \n" ); document.write( "Let the width be w. Then to write the expression for the width from the words \n" ); document.write( "` \n" ); document.write( ">>...the length is 33 feet shorter than twice the width...<<, \n" ); document.write( "` \n" ); document.write( "we begin with the words \"twice the width\" or 2w, and then we make it 33 feet \n" ); document.write( "shorter by subtracting 33, which gives us \n" ); document.write( "` \n" ); document.write( "length = 2w-33 \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` ` 2w-33 \n" ); document.write( "` ` ` ` ` ` `|ŻŻŻŻŻŻŻŻŻ| \n" ); document.write( "` ` ` ` ` ` w| ` ` ` ` |w \n" ); document.write( "` ` ` ` ` ` `|_________| \n" ); document.write( "` ` ` ` ` ` ` ` 2w-33 \n" ); document.write( "` \n" ); document.write( "Perimeter = distance around the rectangle, or \n" ); document.write( "` \n" ); document.write( "Perimeter = left side + top side + right side + bottom side, or \n" ); document.write( "` \n" ); document.write( "` ` ` 222 = w + (2w-33) + w + (2w-33) \n" ); document.write( "` \n" ); document.write( "Can you solve that? Answer: w = 48, length = 2(48)-33 = 63 \n" ); document.write( "` \n" ); document.write( "` \n" ); document.write( "2. An 18 foot board is cut into three pieces. the second piece is four times as long as the first piece and the third is 2 feet longer than the first piece. write an equation and then find the lengths of the three pieces. \n" ); document.write( "` \n" ); document.write( "Let x = the length of the first piece. Then use the words: \n" ); document.write( "` \n" ); document.write( ">>...the second piece is four times as long as the first piece...<< \n" ); document.write( "` \n" ); document.write( "to write the expression 4x for the second piece. Then use the words: \n" ); document.write( "` \n" ); document.write( ">>...the third is 2 feet longer than the first piece...<< \n" ); document.write( "` \n" ); document.write( "to write the expression for the third piece as x + 2. \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` x ` ` 4x ` ` x+2 \n" ); document.write( "` ` ` ` ` ` `|ŻŻ|ŻŻŻŻŻŻŻŻ|ŻŻŻŻ| \n" ); document.write( "` ` ` ` ` ` ` ŻŻ ŻŻŻŻŻŻŻŻ ŻŻŻŻ \n" ); document.write( "` \n" ); document.write( "Now add these parts up and equate to 18 feet: \n" ); document.write( "` \n" ); document.write( "x + 4x + (x+2) = 18 \n" ); document.write( "` \n" ); document.write( "Solve that and get x = 8/3 or 2 2/3 feet or 2 ft 8 inches. \n" ); document.write( "` \n" ); document.write( "So the first part is 2'8\", the second is 10'8\" feet, and the third is 4'8\". \n" ); document.write( "` \n" ); document.write( "Edwin J \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |