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 + 2y inches, the other side should be x^2 + 6xy - 5y^2 inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.

Question

anonymous · Answer

Can someone please help me I do not understand how I am supposed to set this up or go about answering this question

anonymous · Answer

How is area found normally?

anonymous · Answer

Area= Length * Width 

right?

anonymous · Answer

yes

anonymous · Answer

So you know to sides, you do the same
A=( x + 2y )  *  (x^2 + 6xy - 5y^2)

anonymous · Answer

okay... i kind of thought that was how i was supposed to set it up but was not quite sure...

anonymous · Answer

This is right but I think they want you to multiply it out

anonymous · Answer

yea i know they want that to be done... however on the other multiplication problems that i have been doing i am not sure that i can do this one the same way that ive been taught how to do the others... i believe that is where i may be getting a little bit confused on this problem

anonymous · Answer

This is akin to saying two side to rectangle are 2 and 7 , find area

where you would multiply 2*7 to get area; this is no different just expression in place of numbers

anonymous · Answer

Area= Length * Width

anonymous · Answer

thank you so much... i may need some more help before the night is over with