Feb 12 ACT

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<p>^^ that’s how I remember it. Correct me if it’s wrong.</p>

<p>That looks about right BCB1993.</p>

<p>Nope that’s exactly it BCB</p>

<p>YES EXACTLY IT… NOW EVERYONE TAKE OUT UR LIL PENS AND PENCILS AND SEPERATE IT INTO 2 TRIANGLE AND 1 RECTANGLE and do ur area formulas and add them up</p>

<p>^how do you know the lengths and what not, though?</p>

<p>How do you know the lengths without finding the diagonal?</p>

<p>Oh, wait, you don’t. Calm down.</p>

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<p>i know this doesn’t help, but this is how i looked at it.</p>

<p>ok…if the the corner of the 5 is at the center than draw a straight line right to the edge of the 4 square…that lines is equal to 2… then its all about guesstimation</p>

<p>i put 4.5 but i regret it now. its 4, though im still not 100% sure.</p>

<p>No points are given on the square… There’s no way to find it just by “drawing two triangles and a rectangle.” You can rotate the area to where it makes on large triangle with a base of 4 (length of side) and the height as the radius which was two. .5<em>4</em>2=4</p>

<p>I think this is right. I couldn’t think of any other way.</p>

<p>guesstimating would be absurd. there has to be a way to solve this</p>

<p>@TheUndertaker, i thought about that, but I wasn’t sure if that’s allowed. Soccersr, you’re not supporting your answer at all. You cannot <em>guesstimate</em> what you don’t know.</p>

<p>if anyone here is skilled w/ geometry sketchpad, can someone do it? lol</p>

<p>or 4^2 * .25 as i see it now haha</p>

<p>yeah its kind of a guesstimation prob</p>

<p>its 4… ok im not just guesstimating… if the point of the 5 square is at the center of the 4… the “radius” or the line you draw across is 2</p>

<p>I thought you said it was 4.5, though?</p>

<p>well youre right about not having to guesstimate, but i dont see another option. anyone know how to really solve this?</p>

<p>The math question with the 4x4 square and the 5x5 square (w/ vertex on the center of the 4x4) = 4. Here’s my reasoning…</p>

<ul>
<li>Given that the overlapping section was the sections of 4x4 that crossed into 5x5.</li>
<li>Given that the central angle made by the side of a square = 90, and because its vertex was the center of the 4x4.</li>
</ul>

<p>The area of the 4x4 is 16…duh…90 degree central angle off the center is going to give you 1/4th of the area (of the 4x4) no matter how you angle the 5x5 square, as a 90* angle extended past the edges of the 4x4. </p>

<p>1/4 * 16 = 4.</p>

<p>i wish i could take out a piece of paper, do the problem, take a pic and put it in here</p>

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<p>so my way of looking at it was correct?</p>