document.write( "Question 942481: two fields have the same perimeter. one is the square of side 72 meter and another is a rectangle of length 80 meter.which plot has the greater area and by how much \n" ); document.write( "
Algebra.Com's Answer #574545 by macston(5194)![]() ![]() You can put this solution on YOUR website! Perimeter of each same as perimeter of square P=4S where S=side \n" ); document.write( "P=4S=4(72)=288 m \n" ); document.write( "Area of square= s x s=72 m x 72 m=5184 sq m \n" ); document.write( "for rectangle P=2L+2W so P-2L=2W and W=1/2(P-2L) \n" ); document.write( "width of rectangle=W =1/2(P-2L)... P is same as square=288m and L=80 m (given) \n" ); document.write( "W=1/2(288-2(80))=1/2(128)=64 m \n" ); document.write( "Area of rectangle A=L x W=80 m x 64 m= 5120 sq m \n" ); document.write( "Area of square is larger by (5184 sq m - 5120 sq mm) = 64 sq m \n" ); document.write( " |