document.write( "Question 4320: The volume of the box is represented by x squared plus five x plus six, times x plus five. Find the polynomial that represents the area of the bottom of the box? Height is given by x plus 2. \n" ); document.write( "
Algebra.Com's Answer #1962 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Volume, V = (x^2 + 5x + 6)(x + 5) Factor the trinomial. \n" ); document.write( "V = (x + 2)(x + 3)(x + 5)\r \n" ); document.write( "\n" ); document.write( "V = (H )(L)(W) Since the height of the box is given as: (x + 2), then the length and width of the base must be: (x + 5) and (x + 3)\r \n" ); document.write( "\n" ); document.write( "Area of the base = (L)(W) = (x + 5)(x + 3) = x^2 + 8x + 15\r \n" ); document.write( "\n" ); document.write( "So, Area of base = x^2 + 8x + 15 \n" ); document.write( " |