document.write( "Question 318499: The area of a rectangle is 100 square cm. If a square is built using a diagonal of this rectangle as one of its sides, the square has area 700 square cm. What is the perimeter of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #227948 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The area of a rectangle is 100 square cm. If a square is built using a diagonal of this rectangle as one of its sides, the square has area 700 square cm. What is the perimeter of the rectangle? \n" ); document.write( "--------------------------------------- \n" ); document.write( "A side of the 2nd square is sqrt(700) \n" ); document.write( "-------------- \n" ); document.write( "Let a side of the 1st square be \"x\" \n" ); document.write( "Equation: \n" ); document.write( "x^2 + x^2 = (sqrt(700))^2 \n" ); document.write( "--- \n" ); document.write( "2x^2 = 700 \n" ); document.write( "x^2 = 350 \n" ); document.write( "x = sqrt(350) \n" ); document.write( "----------------- \n" ); document.write( "Perimeter of the 1st square = 4*sqrt(350) \n" ); document.write( "============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |