Question

What is the area of the polygon shown below?
http://prntscr.com/7anhsw

Answer 1

Can you split the figure into two rectangles?

Answer 2

Idk what you mean by that

Answer 3

See how I cut the figure into two rectangles?

Answer 4

Mhm where would the units go now?

Answer 5

What do you think? Give it a shot using my drawing :-)

Answer 6

I doubt that is it

Answer 7

That looks great overall! Can you find the area of the big rectangle?

Answer 8

126?

Answer 9

Yep, perfect!

Answer 10

There is one more length that you didn't draw that is important. Any ideas on what that is?

Answer 11

*that you didn't label

Answer 12

The length of the small square

Answer 13

Rectangle*

Answer 14

Yep. Any ideas on that?

Answer 15

8?

Answer 16

Hm, no, that's not what I get.
So, the total is 18, and those two pieces are labelled.

Answer 17

Idk Im stumped with this one, my next guess would be half if 18 or 9

Answer 18

No, the smaller pieces add up to the whole side. So, 5+x+8=18

Answer 19

Do you see how I got the equation?

Answer 20

Slightly, so the length of the small rectangle woulf be 5?

Answer 21

Yep :-)

Answer 22

So, what is the area of the bottom rectangle?

Answer 23

20?

Answer 24

Nice! So, what is the area of the whole figure?

Answer 25

Would I multiply the two areas together?

Answer 26

No, sum them.

Answer 27

So my total area would be 146

Answer 28

Yep :-)

Answer 29

Thanks!

Answer 30

You're welcome!