Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

a square patio surrounded by a walkway of width x meters. If [#permalink]
17 Oct 2008, 08:36

a square patio surrounded by a walkway of width x meters. If the area of the walkway is 132 square meters and the width of the patio is 5 meters greater than the width of the walkway, what is the area of the patio, in square meters?

I'm pretty sure that this is not an official GMAT question (which I will explain shortly) but here it goes:

Imagine a square (the patio) which is "framed" by a larger square (the walkway). x is the width of the walkway, so each side of the patio is x+5 meters long. The outer edges of the walkway will be (x+5)+x+x or simple 3x+5

The area of the larger, outer square MINUS the area of the patio will EQUAL the area of the walkway. So, our equation is (3x+5)^2 - (x+5)^2 = 132 If we simply this we get 8x^2 + 20x = 132 Set equal to zero to get 8x^2 + 20x - 132 = 0 Divide both sides by 4 to get 2x^2 + 5x - 33 = 0

Here's where I conclude that this is not an official GMAC question. Even though GMAC suggests that students need to know how to solve quadratics where the coefficient of the x^2 is not zero (and the quadratic is neither a square or a difference of squares) I have never seen an official question that tests this skill, and I've looked a lot of GMAT questions. That said, perhaps it is a real GMAT question (750+ level at that), so let's solve this quadratic. It's not that hard to factor.

Factor to get (x-3)(2x+11)=0 We get x=3 or x=some negative number. Since x must be positive, x must equal 3.

This means the sides of the patio are 8 meters long, which means the area of the patio is 64 square meters.

It’s been a long time, since I posted. A busy schedule at office and the GMAT preparation, fully tied up with all my free hours. Anyways, now I’m back...

Ah yes. Funemployment. The time between when you quit your job and when you start your MBA. The promised land that many MBA applicants seek. The break that every...

It is that time of year again – time for Clear Admit’s annual Best of Blogging voting. Dating way back to the 2004-2005 application season, the Best of Blogging...