document.write( "Question 81410: the length of a rectangular playing field is is 5ft less than twice its width.If the perimeter of the playing field is 230ft, find the length and width of the field. \n" ); document.write( "
Algebra.Com's Answer #58304 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Use the formula for the perimeter of a rectangle \n" ); document.write( "P=2(Length+width) \n" ); document.write( "P=230 \n" ); document.write( "Length=2w-5 \n" ); document.write( "Width=w \n" ); document.write( ". \n" ); document.write( "P=2(l+w) [plug-in the values] \n" ); document.write( "230=2[(2w-5)+w] [solve for w] \n" ); document.write( "230=2(3w-5) \n" ); document.write( "230/2=2(3w-5)/2 \n" ); document.write( "115=3w-5 \n" ); document.write( "115+5=3w-5+5 \n" ); document.write( "120=3w \n" ); document.write( "120/3=3w/3 \n" ); document.write( "40=w \n" ); document.write( ". \n" ); document.write( "So, if width =40, than the length is: \n" ); document.write( "Length=2w-5=2(40)-5=80-5=75 \n" ); document.write( ". \n" ); document.write( "Check by plugging all values back into the original formula and solve: \n" ); document.write( "P=2(length + width) \n" ); document.write( "230=2(75+40) \n" ); document.write( "230=2(115) \n" ); document.write( "230=230 [checks out] \n" ); document.write( " |