y do i need to square both side ?

Personally, I find this the best way to solve this question.

No is not, try. You wont spend 10-15 secs, at the end you will have a caudratic equation in terms of two variables.

y do i need to square both side ?

I mean he literally said don't do that but ok

And???, thats all yu got?

Solid reasoning, thanks for sharing.

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@@beauty-qk4ls how did you do on the exams ??

@@beauty-qk4ls how did you do Sia?

no response i think she failed

Thanks for the kind words! Enjoy the rest of my free videos on KZfaq and check out the courses on my website if you want to dive deeper.

Good catch. Sometimes there's a mistake like this in non-official GMAT questions (like you'll find in forums or non-GMAC textbooks), but this question comes from the OG 13th edition. Perhaps they fixed it in the new 2015 edition. Either way, the underlying strategy for a question like this is sound :)

that's literally the point he just made, isn't it?

oh yeah

u missed the point, it has to be greater than 8 as well

Awesome, glad you found it helpful!

Which other combinations will fit with x = y + 2?

Joshua Moore There's an infinite number of combinations. For example, if x = 9, then y would equal 7. If x = 5, y = 3. And so on. Without factoring in the area requirement, you simply have one equation with two variables, which you can't definitively solve. BUT, once you factor in the area and realize that xy = 48, now you have two equations and two variables, which you can solve. Even if you don't solve it algebraically, when you write out some possible combinations of x and y as I did starting around the 3:27 mark, you realize the only combination of x and y that makes sense is 6 and 8. Does that help?

Dominate the GMAT you don't need to draw some ugly triangles with 1×48 like possibilities. One look at xy=48 and y+2=x leads to 6 and 8 answer.

thanks

Thank you! I'm glad you found it helpful.

@@dominatethegmat Since the video is a little old, I thought that you may not be active on your channel and may give it a miss. Good to know that you noticed my appreciation.

@@ashishsinha9035 Everything on our channel is still relevant to the current iteration of the GMAT. And yes, we are still very much active. Don't hesitate to let us know how else we can help!

For people looking at this video now, the answer to this question is estimating the square root of 13 by using perfect squares. Square root of 9 is 3. Square root of 16 is 4. So therefore the square root of 13 would be something between 3 and 4 which would still be too short. For Answer B, even multiplying the square root of 13 (something between 3 and 4) by 2 would still be something between 6 and 8, still too short.

Excellent observation and exactly right. Thanks for chiming in!

True, but integers are the easiest and best place to start, so you might as well make your life easier. Plus, the answer choices give you a sense of the types of numbers we're dealing with. If z is an integer (6, 8, and 10 are all possibilities), then x and y are likely to be integers as well, especially with how the Pythagorean Theorem works. As you do more practice questions, you'll get a better sense of what GMAT-style questions look like and how they work. Could x=12.4 and y=3.87096774? Yes, since multiplied together those equal 48. But that's not as likely as x=8 and y=6 in terms of how the GMAT usually works.

It says "the shaded portion" of the rectangle is the bed. The shaded portion, of course, is the triangle. So it's that area (that of the triangle) that equals 24.

They aren't necessarily integers. But that doesn't matter. If you're going to try to out-think the test makers and get a right answer without doing the actual algebra, integers are the easiest numbers to work with. Why let x = 3.3 and y = 14.5 (approx.), for example, if you can just as easily use x=6 and y=8? Don't do more work than you need to.

You need to figure a few things out first before realizing that it is in fact a pythagorean triplet. Just because it's a right triangle doesn't automatically mean it'll be one of the more common triplets (although on the GMAT, it usually is...).

Tukka lag gya bhai ka🤣🤣

If you solve algebraically, then you need to use the substitution method to create one equation with one variable. When you do that, that's how you arrive at y(y+2)=48. At that point, the distributive property results in a y^2 situation, which is how it ends up being a quadratic equation.

@@dominatethegmat thanks. Another question: what is one equation and what is variable? I have trouble with algebra. Sorry.

@@ChristianPLAY100 It sounds like you may need a basic algebra refresher. My GMAT Algebra course will help you: www.dominatethegmat.com/video-purchase/a-la-carte-topics/gmat-algebra-topics/

No. It's half Quantitative Reasoning and half Verbal Reasoning. On the verbal side, you'll need to demonstrate reading comprehension, apply rules of English grammar, and evaluate arguments. On the quant side, it's not all straight-forward math, either. There's a unique question type called Data Sufficiency and questions that are more "reasoning" in nature. That said, strong math skills certainly help. The GMAC provides a couple free practice tests through their website at mba.com. You might want to take one of those to get a feel for what you're in store for. And of course if you register for one of my programs, you'll learn everything you need to get right answers on every question type on the GMAT. Let me know how else I can help!

Yep, that's a great approach. I'm not sure how many students would "see" that with the information given, though, which is why alternative methods are helpful. But good for you for your creative thinking and quick solution!

Somewhere in the 600's. And of course the mindset and strategy discussed in the video will help you on 700+ level questions as well.

@@dominatethegmat Oh Okay i have MPhys degree, and was looking to do the GMAT in 5-7yrs so that kl to see its simple. Thanks

@@FanTaaGoesHD Don't use this one question as your definitive measuring stick. I would recommend taking a full-length practice test to get a better sense of exactly what you're in store for. You can get a free one at mba.com. I've had a lot of engineers and other students with strong math backgrounds find the GMAT to be surprisingly difficult. I'm sure you'll pick it up quickly, but I just want to make sure you give it the respect it deserves. And of course the verbal section carries equal weight, so make sure you put in the study time there, too. Let me know how else I can help!

+adewaler olisa Do you have a Mac or PC? I use ScreenFlow on my Mac to do the screen capture of me solving the problem. I use FinalCut Pro to splice together the clips and do graphic overlays. If you have a PC, you'll need Camtasia. Feel free to e-mail me at brett@dominatethegmat.com if you have any further questions.

You can substitute 0.5 for 1/2 in the original equation if you'd like. But when it comes to isolating "xy", the way you do that is by dividing both sides of the equation by the coefficient, which in this case is 1/2. So that's what tells you the difference -- you're dividing by 1/2 rather than multiplying by it. And of course as you mentioned, dividing by 1/2 is the same as multiplying by 2. Does that clear it up for you?

Perfectly! Thank you :)

we are told that x = y + 2. So X is not only the greater value, but the Y value + 2.

Thank you! Glad you're enjoying the channel. I know you'll love our paid content even more, so head over to dominatethegmat.com. For this question, I'd put it in the mid-600's.

It is a right triangle and therefore x^2 + y^2 = z^2 as you suggested, but to apply the Pythagorean Theorem to solve for "z," you still need "x" and "y." So you still need to do what I did in this video to find those sides. Plus, as I often tell my students, if you find yourself actually using the Pythagorean Theorem to solve something on the GMAT, you've probably missed something -- usually that you're dealing with one of the four common right triangles that can be solved without actually applying the formula!

@@dominatethegmat yes. I know after finding x and y I suggested pythagorean theorem

@@Shambhu100 Gotcha. But yeah, recognizing that it's a scaled-up version of the common 3-4-5 right triangle can save you some time so that you don't actually need to use the Pythagorean theorem. But it's always there for you if you need it.

another one as well is what i meant.

There are four "common" right triangles that you need to know forwards and backwards on the GMAT: 1) 3-4-5; 2) 5-12-13; 3) 1-1-root2 (45-45-90); 4) 1-root3-2 (30-60-90). I teach these as well as everything else you need to know about triangles on the GMAT here: www.dominatethegmat.com/video-purchase/a-la-carte-topics/gmat-triangles/

Yes, it's a question of above-average difficulty. You've got this!

You may need to take the GRE instead of the GMAT. Check the admissions requirements for your target school(s).

The two are not mutually exclusive. In fact, they go hand in hand. Because the effective "score" is tied to the difficulty level of the question, your score goes up as the difficulty level of the question goes up. So in the example I used in the video, if your first question has a difficulty level of 500, and you get it right, then your second question might have a difficulty level of 560. If it were a 2-question test and you got both questions right, then your score for the test would be 560. Does that make sense? So because of that, when you get the first few questions right, your score goes way up right off the bat.

GMATClub performed a series of scenarios regarding the first 10 questions using the GMATPrep software and the results were conclusive that the first 10 do matter the most. gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html Granted this isn't the actual GMAT but the GMATPrep software seems to have the most accurate algorithm relative to that of the real GMAT

E Pluribus Unum Awesome resource. Thanks so much for sharing!

I'm not sure I follow. When did I square both sides?

in below comments there is another method of solving this. the method is to Sqaure both side Alternative method (1/2)xy =24 xy=48 x=y+2 x-y = 2 Squaring both side X^2+y^2-2xy= 4 Now substitute value of xy X^2+y^2= 100 So z^2 = 100 (because triangle is right angle triangle) Z= 10

Gotcha. Yep, nice solution!

You're welcome!

Are you saying you thought X + Y + Z = 24? What made you think that based on the wording in the question (or anything else you could derive from the question)? The question says that the AREA of the triangle equals 24, not the perimeter. Please clarify.

Good work!

Point taken. Thanks for the feedback!

Thanks for taking the time to point that out. Best of luck to you on the rest of your GMAT journey.

Whether you take the GMAT or not, please know that your self worth is NOT tied to anything external or based on performance such as an exam, your GPA, your looks, how much money you make, etc. You are valuable intrinsically because of the nature God has instilled in you. If you do well on the GMAT, great! If you don't, that's okay too. But your worth derives from who you ARE, not what you accomplish. Don't confuse the two.

+Bumseok Lee Need help with GMAT please

Asians...

Nice observation!

Wait until your first 2-hour study session! Hope you at least found this helpful 😀. Best of luck and let me know how else I can help.