document.write( "Question 1036851: A rectangular area is to be fenced in using two types of fencing. The front and back uses fencing costing RM 5 a foot while sides use fencing costing RM 4 a foot. If the area of the rectangle must contain 500 square feet, what should the dimensions of the rectangle be in order to keep the cost at a minimum ? \n" ); document.write( "
Algebra.Com's Answer #651602 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular area is to be fenced in using two types of fencing. \n" ); document.write( " The front and back uses fencing costing RM 5 a foot while sides use fencing costing RM 4 a foot. \n" ); document.write( " If the area of the rectangle must contain 500 square feet, what should the dimensions of the rectangle be in order to keep the cost at a minimum ? \n" ); document.write( ": \n" ); document.write( "let L = the length of the area \n" ); document.write( "let w = the width \n" ); document.write( "Area \n" ); document.write( "L * w = 500 \n" ); document.write( "L = \n" ); document.write( ": \n" ); document.write( "Cost of fencing \n" ); document.write( "Cost = 5(2L) + 4(2W) \n" ); document.write( "C = 10L + 8w \n" ); document.write( "Replace L with 500/w \n" ); document.write( "C = 10( \n" ); document.write( "graph this equation :y = \n" ); document.write( " \n" ); document.write( "Cost is on the y axis, width on the x axis \n" ); document.write( "w = 25 ft for min cost \n" ); document.write( "then \n" ); document.write( "L = 500/25; minimum cost would calculate to: $400 \n" ); document.write( "L = 20 ft is length \n" ); document.write( " \n" ); document.write( " |