document.write( "Question 465945: A piece of wire 44cm long is cut into two parts and each part is bent to form a square. If the total area of the two squares is 65 square centimeter, find the perimeter of the two squares. \n" ); document.write( "
Algebra.Com's Answer #320378 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A piece of wire 44cm long is cut into two parts and each part is bent to form a square. If the total area of the two squares is 65 square centimeter, find the perimeter of the two squares. \n" ); document.write( "... \n" ); document.write( "let x=side of one square in cm \n" ); document.write( "perimeter of one square=4x \n" ); document.write( "let y=side of other square in cm \n" ); document.write( "perimeter of other square=4y \n" ); document.write( ".. \n" ); document.write( "x^2+y^2=65 \n" ); document.write( ".. \n" ); document.write( "4x+4y=44 \n" ); document.write( "x+y=11 \n" ); document.write( "y=11-x \n" ); document.write( ".. \n" ); document.write( "x^2+(11-x)^2=65 \n" ); document.write( "x^2+121-22x+x^2=65 \n" ); document.write( "2x^2-22x+56=0 \n" ); document.write( "x^2-11x+28=0 \n" ); document.write( "(x-4)(x-7)=0 \n" ); document.write( "x=4 or x=7 \n" ); document.write( "y=11-4=7 or y=11-7=4 \n" ); document.write( "ans: \n" ); document.write( "Perimeter of one square= 4*4=16 cm \n" ); document.write( "Perimeter of other square = 4*7=28 cm \n" ); document.write( "If the perimeter of one square is 16 cm, perimeter of the other square would be 28 cm or vice-versa \n" ); document.write( " |