document.write( "Question 330495: If the lengths of a pair of opposite sides of a rectangle were doubled and the other pair of opposite sides were each decreased by 14 m, the new rectangle would be a square with a perimeter of 84 m. Find the rectangle's original dimensions. ........ \n" ); document.write( "
Algebra.Com's Answer #237176 by privani(34)![]() ![]() ![]() You can put this solution on YOUR website! Understood from question: \n" ); document.write( "Square's perimeter = 84m, with sides \"s\" \n" ); document.write( "Hence, \n" ); document.write( "4s = 84 \n" ); document.write( "s = 84/4 \n" ); document.write( "s = 21\r \n" ); document.write( "\n" ); document.write( "Further from question: \n" ); document.write( "\"a pair of opposite sides of a rectangle were doubled\"; assuming this side is \"x\" \n" ); document.write( "2x = 21 \n" ); document.write( "x = 21/2 \n" ); document.write( "x = 10.5\r \n" ); document.write( "\n" ); document.write( "\"the other pair of opposite sides were each decreased by 14 m\"; assuming the other side is \"y\" \n" ); document.write( "y - 14 = 21 \n" ); document.write( "y = 21 + 14 \n" ); document.write( "y = 35\r \n" ); document.write( "\n" ); document.write( "So, the rectangle's original dimension is 10.5 m x 35 m. \n" ); document.write( " |