Bootcamp QR Question

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SuxDrugs&Rocuronium

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So the question asks: A square is quartered into four equal sized triangles, as shown in the diagram. If each triangle has an area equal to 18, what is the perimeter of the square.
math-9-27-1.png


The correct answer is 24√2. I got it right but now reviewing it, it seems as though the perimeter would be 48. Can anyone give me an explanation as to why it would be 24√2? It's question 27 on QR exam #9. Thanks!

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I would add all the triangle areas together first to find the area of the square which would be 72. and since its a square. S^2=72. so each side is (72)^1/2. and then we can just multiply it by 4 to find the perimeter. 4*(72)^1/2. That is the same thing as 4*(36*2)^1/2 and that is equal to 24*(2)^1/2.
 
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So I
So the question asks: A square is quartered into four equal sized triangles, as shown in the diagram. If each triangle has an area equal to 18, what is the perimeter of the square.
math-9-27-1.png


The correct answer is 24√2. I got it right but now reviewing it, it seems as though the perimeter would be 48. Can anyone give me an explanation as to why it would be 24√2? It's question 27 on QR exam #9. Thanks!

So I totally see what you did there, but remember that the sides you solved for (base and height) are not the edges of the square. Here is a picture that might help you visualize it :)
 

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