document.write( "Question 1004187: The perimeter of a rectangle is 68 cm.If the diagonal is 26cm,find the dimensions of the rectangle.What would the equation be for this? \n" ); document.write( "
Algebra.Com's Answer #620713 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! L+W=34 (half the perimeter) \n" ); document.write( "L=34-W \n" ); document.write( "Pythagorean theorem \n" ); document.write( "W^2+(34-W)^2=26^2 \n" ); document.write( "W^2+W^2-68W+1156=676; 2W^2-68W+480=0 \n" ); document.write( "2(W^2-34W+240)=0, factoring 2. \n" ); document.write( "(W-24)(W-10)=0 \n" ); document.write( "W=24 or 10. One is length, 24 cm, the other width, 10 cm. \n" ); document.write( "The perimeter is 68 cm. \n" ); document.write( "The square of 24 (576) and 10 (100)= square of diagonal, 26, cm, (676) \n" ); document.write( " |