Find the area of the figure

Question

anonymous · Answer

attachment

mathstudent55 · Answer

Here are two ways of doing it:
1. Divide the figure into 3 rectangles. Find the area of each rectangle and add them together.
2. Find the area of the green figure as if it were a full rectangle with no white part missing. Then find the area of the missing white part and subtract from the large green rectangle.

mathstudent55 · Answer

Do these two methods make sense to you?

anonymous · Answer

they do .I feel as if the second part would be quicker and easier

mathstudent55 · Answer

I agree.
Let's do the second method.
The large green rectangle is actually a square with side 5.
What is the area of a square with side 5?

anonymous · Answer

25

mathstudent55 · Answer

Great.
The small missing square inside has side 2.
What is the area of a square of side 2?

anonymous · Answer

4

mathstudent55 · Answer

Great.
What is 25 - 4 ?

anonymous · Answer

21

mathstudent55 · Answer

There is your answer.
Good job!

mathstudent55 · Answer

Actually, now that I saw the figure more carefully, this is the only way we could have done this problem with the given info. We were not given enough info to find the areas of the three rectangles that add up to the green area.

anonymous · Answer

it was super easy. thanks !

mathstudent55 · Answer

Great. I'm glad you understood it.