Question

Help with geometry/rational expressions?

Answer 1

1st step: What is the area of the rectangle?

Answer 2

\[\frac{ 1 }{ 6 }? \]

Answer 3

If you cut the triangle in half, and then stack it on top of the other, and divide up the rectangle, it could be \[\frac{ 1 }{ 6 }\]

Answer 4

I'm just asking for the total area of the rectangle for now. The sides of the rectangle are x and x+2. So what is the area?

Answer 5

(x)(x + 2)

Answer 6

Great, now we try to find the area of the triangle. Any ideas?

Answer 7

(x)(2)

Answer 8

(2)(x/2)

Answer 9

(Two times x divided by two.)

Answer 10

Well that happens to be the area of the total triangle which is great! So now to get the fraction we can write\[{areaOfTriangle\over TotalArea}\]

Answer 11

\[{x\over(x)(x+2)}\]x's cancel.

Answer 12

Oh, okay.

Answer 13

Does that make sense? Did you understand?

Answer 14

I think I might.