Here's the question you clicked on:
andjie
Help needed??
Find the total area of all shaded rectangles. This is about Polynomials have no idea where to start
Step by step if possible
What you want to do first is identify the rectangles. I spot two. Do you?
I am so confused right now
I am confused and i do not even get my question i post
looks like they are all shaded
since they are all shaded, and since you have a square, the area is the square of the side the length of the side is \(3x+4\) so the total area is \((3x+4)^2\)
by looking across the top and adding the two lengths. one is \(3x\) the other is \(4\) so the total length is \(3x+4\)
and therefore the total area is \((3x+4)^2\)
See the book is horrible at explaining how to do this, what does this have to do with Polynomials
the other answer is the area of the large square, which is \(3x\times 3x=9x^2\) plus the area of the small square which is \(4\times 4=16\) plus the area of the two reactangles, each of which is \(3x\times 4=12x\) when you add these you get \[9x^2+12x+12x+16=9x^2+24x+16\]
they are trying to get you to see by making a square, that \[(3x+4)^2=9x^2+24x+16\]