SOLUTION: Essay: Show all work. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + 4y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Essay: Show all work. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + 4y      Log On


   



Question 550129: Essay: Show all work. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + 4y inches, the other side should be x^2 + 4xy - 6y^2 inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
one side of the whiteboard is x + 4y inches, the other side should be x^2 + 4xy - 6y^2 inches
:
. . . x^2 + 4xy - 6y^2
. . . X. . . . . x + 4y
---------------------------
. . . 4x^2y + 16xy^2 - 24y^3
. x^3 + 4x^2y - 6xy^2
------------------------------
. x^3 + 8x^2y + 10xy^2 - 24y^3 = the area of the board
: