Question

What is the area of the polygon?
un2

Answer 1

@Directrix

Answer 2

Work from the outside in.

First, get the area of the pink rectangle.

Answer 3

I just count the squares right

Answer 4

Yes. Check to see if you got this.

Answer 5

I am not sure I counted correctly.

Answer 6

I got 11 because I counted the squares but I see that what you did is only count the side of the triangele I was counting inside the triangele

Answer 7

Count the units of the rectangle, the entire rectangle.

Answer 8

okay, please hold

Answer 9

Okay.

Answer 10

I counted 45 squares

Answer 11

That is correct. The area of the rectangle is base times height.

5* 9 = 45

From the rectangle, we have to subtract the area of the triangle.

Do you agree that the triangle on the left has width 2 and height 5.

If so, then the area of the triangle is 1/2 * 2 * 5 = 5.

Answer 12

yes

Answer 13

Check the length of the height and base of the triangle on the right.

Answer 14

20

Answer 15

Take half that to get the area of the right triangle.

Answer 16

10