document.write( "Question 830554: Brian has two rectangles gardens that have thes ame area but different perimeters. Each garden has an area of 48 sq ft.
\n" );
document.write( "Draw two different rectangles with an area of 48 sq ft, but with different perimeters.
\n" );
document.write( "Then determine which of your designs will require less fencing \n" );
document.write( "
Algebra.Com's Answer #500782 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! We know that area = length * width (A=L*W) \n" ); document.write( "What are the possible combinations that will fit that problem? \n" ); document.write( "Factors of 48 = 48,1; 24,2; 12,4; 8,6 \n" ); document.write( "It wouldn't make a lot of sense to have a 1x48 or 2x24 garden, but you could. We'll use the other two choices. \n" ); document.write( ". \n" ); document.write( "Garden A has a length of 8 and a width of 6 \n" ); document.write( "Garden B has a length of 12 and a width of 4 \n" ); document.write( ". \n" ); document.write( "To fence the perimeter, use 2 lengths and 2 widths. \n" ); document.write( "P = 2L + 2W \n" ); document.write( "For Garden A, that is (2*8)+(2*6) \n" ); document.write( "For Garden B, that is (2*12) + (2*4) \n" ); document.write( "Which is larger? \n" ); document.write( "A needs 16+12 or 28 feet \n" ); document.write( "B needs 24+8 or 32 feet. \n" ); document.write( " \n" ); document.write( " |