Area of a Compound Figure Triangle Rectangle

Area of a Compound Figure Triangle Rectangle

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What is the area in square units of the figure shown? So, the first thing I'm going to do is divide this shape into square and triangle. Okay? And since this is square, know that this side length is equal to four and this height is now equal to four. Okay? And to find the area of square, it's just one side length squared or four times four, which is 16. So, the area of this square right here is equal to 16. So, now let's move on to the triangle, okay? So, since this whole entire side length is equal to seven and we have four of it over here, that means that there's three left over for this side length, okay? And we also know that the area of triangle is 1/2 base times height. The base is three, so we have 1/2 times the base, which is three, times the height, which is four. Okay? So, 1/2 times three times four is equal to six. So, now the total area is 16 plus six, which is 22.
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