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Mathematics 21 Online
OpenStudy (anonymous):

find the area of the following composite shape

OpenStudy (anonymous):

OpenStudy (anonymous):

Ok, how many shapes do you see in all?

OpenStudy (anonymous):

2

OpenStudy (anonymous):

Great. Now, take a look at this image and tell me where you'd start.

OpenStudy (anonymous):

idk

OpenStudy (anonymous):

What is the area of a square?

OpenStudy (anonymous):

Length times width, right? So what is the area of the square?

OpenStudy (anonymous):

Here's an image, if it helps. Once you have that value, we'll write it down and add it to the area of the triangle.

OpenStudy (anonymous):

Still there?

OpenStudy (anonymous):

yeah sorry

OpenStudy (anonymous):

Ok, so do you have the area of the square yet?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

Cool, now you have the two triangles. You know that their combined length where they touch the box is the same as the height of the box. They meet in the center of that line, so that side of each triangle is 1/2 the height of the box. Now you have two sides, and can say 1/2 base times height is the area of one triangle. You have two, so two times that answer plus the area of the box will be your final answer.

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