SAT Hard Math Questions Jan 12 HELP

<p>Hey guys, I got stumped on these problems for no apparent reason. I usually get them with ease but Im left mind boggled. These two questions are on the link below. They are a little faded due to the ink quality! Thank you though! </p>

<p><a href="http://puu.sh/3AwoJ.jpg%5B/url%5D"&gt;http://puu.sh/3AwoJ.jpg&lt;/a&gt;&lt;/p>

<p>And this number 12 question stumped me too. I have no idea why :'( Thank you guys!</p>

<p><a href="http://puu.sh/3AwAN.png%5B/url%5D"&gt;http://puu.sh/3AwAN.png&lt;/a&gt;&lt;/p>

<p>These are real CB questions btw.</p>

<p>For number 12 you can use the strategy of “moving the sides of the figure around.” Push the horizontal segment up and the vertical segment left to get a 12 by 10 rectangle. The perimeter is then 2(12) + 2(10) = 44.</p>

<p>For 18, d will be smallest if the length from c to d is 1 unit, and a=1. The length from b to c is then 2 units, and the length from a to b is 4 units. So a=1, b=5, c=7, and d=8.</p>

<p>For 17, a face of least area has dimensions 2 by 3. So if we stand the tank up on this face, the volume is (2)(3)(h)=6h. So 6h=16 and h=16/6=8/3.</p>

<p>Agree with both the answers up there. For number 17, notice that the water only occupies a volume of 16 cubic feet while the whole tank is 24. </p>

<p>The repositioning will have the tank standing on the 2x3 side (least area). The water will readjust, but not lose volume, so in the equation length<em>width</em>height = volume, you have 2<em>3</em>h = 16, so using a calculator h = 2.666667, or 8/3 ft. (right?)</p>

<p>@DrSteve im not quite getting your approach to Number 12. Where did you get the 2 from to multiply it? For Number 18, how can the length from b to c be bigger than the length from a to be when a-b is twice the size? Thank you on number 17 :)</p>

<p>Thanks NewDivide, I just understand 12 and 18!</p>

<p>Guess I was too late :confused: and imagine that the diagram was all toothpicks. The sum of all the lengths of the toothpicks wouldn’t change if you moved some around. The two on the upper left can be shifted so that they complete a square, which is easy to find the perimeter for.</p>

<p>Oh my goodness! What a foolish mistake of me! I thought #12 was asking about the area, not the perimeter! Thats a difference between a 2080 and 2100. Thank you Thank you! Now just Number 18 >:(</p>

<p>Edit: Thank you! I totally understand 18 now! Had to work backwards with it! Thanks again!</p>

<p>Haha no worries! That’s why I like to say that the SAT I Math section is less about math and more about reading the instructions carefully. Know what you’re looking for before you start looking!</p>

<p>Do you understand 18 or do you need an explanation?</p>

<p>Edit: I now see your edit. Glad we could help!</p>

<p>If you don’t mind me asking, where did you find these questions?</p>

<p>Tehdude, I extracted them from a website, if you would like, I would be happy to send you them via email.</p>