Where does the 2x come from and why is it important?

Question

anonymous · Answer

I'm just a little confused how we got the 2x in each expression.

anonymous · Answer

@AravindG @Hero @mathslover

aravindg · Answer

2x is the sum of lengths of each side

anonymous · Answer

Because you have the side of the picture itself, and an extra "x" on each end of that side. Each side has two ends, so 2x.

aravindg · Answer

look closely at the figure

anonymous · Answer

I speculated that, but I'm confused. What exactly are we finding here and why would we need the xXs?

aravindg · Answer

because we need the total area not just area of small rectangle inside

aravindg · Answer

to get that sides will be side of small rectangle+x+x

anonymous · Answer

We we know the dimensions of the image are 7 by 5 inches. Alright. 

And so expanding it by x dimensions on eahc side will make it equal to 80?

anonymous · Answer

So the xs on the bottom are the width and the xs on the top are the height?

anonymous · Answer

Yep, and since you don't know what those extra dimensions are yet, you replace them with x.

anonymous · Answer

Ohhhhh.

aravindg · Answer

:)

anonymous · Answer

Thankis :)

aravindg · Answer

yw