00:01
So in this problem, what we're being asked to do is to find the area of the shaded region.
00:04
That notice i put in red.
00:06
Well, that area isn't the specific polygon shape.
00:09
But notice the area of the entire thing that i have labeled in green is a rectangle.
00:15
And notice that we have this inner rectangle that i'll now highlight it in blue.
00:19
It's also a rectangle.
00:20
So if we could find the area of the whole region and then we subtract the area of that inner rectangle, that would leave us with the area of the shaded region.
00:30
Well, because that outer shape is a rectangle, we just need to multiply the length times the width.
00:35
Well, the length is 5y plus 6, and the width is 3y plus 1.
00:40
So that expression would be the area of the whole rectangle.
00:43
Then we need to subtract the inner rectangle.
00:46
So again, we multiply the length by the width.
00:48
So we'll have the length 2y plus 4, and the width is y plus 1.
00:53
So now we have an expression to represent the area of the shaded region.
00:58
Well, now we also need to simplify.
00:59
So first we'll multiply the first two binomials using the foil method...
