[Video] Q11: What is the area, in square units, of the figure shown?

Explanation for Question 11 From the Math (No Calc) Section on the 2020 March Sat

So for question 11, our answer key has told us that the correct answer 2 is B. So how do we find that a correct answer is going to 3 be B and what could possibly lead us to choose a C or D? 4 And so what we notice here is that we're starting off with a trapezoid 5 and we know it's a trapezoid because first off we have what appear to 6 be two parallel lines, right? And then we have two lines that are connecting 7 them. And they're not necessarily all at 90 degree angles, 8 right? This one does not have a 90 degree angle, 9 which is what makes it attractive Lloyd rather than a, 10 um, rather than a rectangle or square. 11 And so if you were to scroll up and look at the list of 12 area formulas and volume formulas that they give you, 13 you're not going to find the equation for the area of a trapezoid. 14 So I've written it here just for future reference in case you wanted to 15 memorize it. But how I would personally go about this problem is not by 16 using this formula because it's kind of obscure and you might've forgotten it, 17 but rather by separating the shape into a triangle and a square, 18 right? So I can separate it right here. And now I see that I 19 have a square right with the side lengths of four and four. 20 And the area of that square is going to be 16. 21 And now the area of this triangle is perhaps the tricky part, 22 right? Because I need to know the height which I currently have missing and 23 the base, which I currently have missing. But if we see here that...

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