document.write( "Question 206610: suppose that a box has a base with a width of x, a length of x+1 and a hieght of 2 inches. It is cut from a rectangular sheet of materrial with an area of 182 inches2 find the dimension of the box. \n" ); document.write( "
Algebra.Com's Answer #156181 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a box has a base with a width of x, a length of x+1 and a height of 2 inches. \n" ); document.write( " It is cut from a rectangular sheet of material with an area of 182 inches2 \n" ); document.write( "find the dimension of the box. \n" ); document.write( ": \n" ); document.write( "From the height, (2 inches) the sheet dimensions will be: \n" ); document.write( "(Add 4 inches to each box dimension): \n" ); document.write( "(x+4) * (x+5) = 182 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 5x + 4x + 20 = 182 \n" ); document.write( ": \n" ); document.write( "x^2 + 9x + 20 - 182 = 0 \n" ); document.write( ": \n" ); document.write( "x^2 + 9x - 162 = 0 \n" ); document.write( ": \n" ); document.write( "Factors to: \n" ); document.write( "(x + 18)(x - 9) = 0 \n" ); document.write( "; \n" ); document.write( "Positive solution \n" ); document.write( "x = 9 inches is the width of the box \n" ); document.write( "and \n" ); document.write( "9 + 1 = 10 inches is the length \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution by finding the area of the sheet \n" ); document.write( "(9+4) * (10+4) = 182 \n" ); document.write( " |