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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
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:
If the area of an equilateral triangle is x square meters [#permalink]
Show Tags
29 Dec 2010, 18:25
2
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
35% (medium)
Question Stats:
72% (01:24) correct
28% (02:21) wrong based on 360 sessions
HideShow timer Statistics
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
Keep coming up with the wrong answer for this one! Any help would be greatly appreciated.
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
A 6 B 8 C 4√2 D 2√3 E 4√3
Let me try
Area of Equilateral triangle = perimeter \sqrt{3/4}* \(S^2\) = 3S
Simplifying the above equation would give E
_________________
Keep coming up with the wrong answer for this one! Any help would be greatly appreciated.
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
A 6 B 8 C 4√2 D 2√3 E 4√3
If perimeter of equilateral triangle is x, its side must be x/3. If side is x/3, its area must be \((\sqrt{3}/4)*(x/3)^2\)[Area of equilateral triangle of side 'a' is \((\sqrt{3}/4)*a^2\)] Area of triangle = \(x = (\sqrt{3}/4)*(x/3)^2\) \(3*(4/\sqrt{3}) = x/3\) \((4\sqrt{3}) = x/3\) = side of the triangle
_________________
i think we cannot solve it without formula and if we know formula it will hardly take a minute to crack it........ appreciated if some one help us to solve it without formula.
is there any other way solving the problem without using the area-formula for equilateral triangle?
If you don't know the equilateral triangle area formula, you will need to use the area formula for any triangle i.e. (1/2)*base*altitude You will get the area for the equilateral triangle.
Since perimeter = x meters, length of side = x/3 meters.
So base = x/3 What about the altitude? You need to use pythagorean theorem to figure it out. The altitude bisects the opposite side in an equilateral triangle so (x/3)^2 = (x/6)^2 + altitude^2 altitude =\(x/(2\sqrt{3})\)
Area of triangle = \((1/2)*(x/3)*(x/(2\sqrt{3}) = x^2/12*\sqrt{3}\)
This is the same as the formula (obviously!)\(\sqrt{3}/4 * (x/3)^2 = x^2/12*\sqrt{3}\)
_________________
HI, can anyone explain how to get to the correct answer from here: (S^2*Square3)/4=3S.... I got S=12/square3 thanks!!
Length of the side = S/3 not S. S is the perimeter of the triangle (actually it is given as x in the original question) So area =\(((S/3)^2*\sqrt{3})/4 = S\) You get \(S = 12*\sqrt{3}\) Length of side = \(S/3 = 12*\sqrt{3}/3 = 4*\sqrt{3}\)
_________________
Re: If the area of an equilateral triangle is x square meters [#permalink]
Show Tags
29 Jul 2013, 03:18
m990540 wrote:
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
A 6 B 8 C 4√2 D 2√3 E 4√3
Understanding the question: Questions talks about area, perimeter and side of an equilateral triangle.
Facts to refer: Area of an equilateral triangle = (sqrt(3)/4)*a^2. As suggested by Karishma, if this formula is not known, then one can use the normal formula for area of triangle, (1/2 * bh), consider the 30-60-90 ratio and find the height. But knowing this formula can save valuable seconds. Perimeter of an equilateral triangle = 3a
What's given in the question and what it implies (noted as =>): Area of an equilateral triangle = Perimeter => (sqrt(3)/4)*a^2 = 3a
What is asked for: Value of a
Solution: Solving (sqrt(3)/4)*a^2 = 3a => a = 4*sqrt(3)
Keep coming up with the wrong answer for this one! Any help would be greatly appreciated.
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
A 6 B 8 C 4√2 D 2√3 E 4√3
If perimeter of equilateral triangle is x, its side must be x/3. If side is x/3, its area must be \((\sqrt{3}/4)*(x/3)^2\)[Area of equilateral triangle of side 'a' is \((\sqrt{3}/4)*a^2\)] Area of triangle = \(x = (\sqrt{3}/4)*(x/3)^2\) \(3*(4/\sqrt{3}) = x/3\) \((4\sqrt{3}) = x/3\) = side of the triangle
Dear Karishma, I lost you way on step: (S/3)^2 * sqrt3/4=S After this step my simplifications I always get: S/3=12/sqrt3
here my calculation: (S/3)^2 * sqrt3/4=S---> S^2/9 * sqrt3/4=S---> S^2*sqrt3 / 36=S---> S^2*sqrt3 / S =36---> S* sqrt3=36---> S= 36/ sqrt3---> here we need to divide by 3 in order to find S/3---> s/3= 12/sqrt3
I understant that is just small silly mistake somewhere but I could not spot it Please help me out Many thanks _________________
Good things come to those who wait… greater things come to those who get off their ass and do anything to make it happen...
Keep coming up with the wrong answer for this one! Any help would be greatly appreciated.
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
A 6 B 8 C 4√2 D 2√3 E 4√3
If perimeter of equilateral triangle is x, its side must be x/3. If side is x/3, its area must be \((\sqrt{3}/4)*(x/3)^2\)[Area of equilateral triangle of side 'a' is \((\sqrt{3}/4)*a^2\)] Area of triangle = \(x = (\sqrt{3}/4)*(x/3)^2\) \(3*(4/\sqrt{3}) = x/3\) \((4\sqrt{3}) = x/3\) = side of the triangle
Dear Karishma, I lost you way on step: (S/3)^2 * sqrt3/4=S After this step my simplifications I always get: S/3=12/sqrt3
here my calculation: (S/3)^2 * sqrt3/4=S---> S^2/9 * sqrt3/4=S---> S^2*sqrt3 / 36=S---> S^2*sqrt3 / S =36---> S* sqrt3=36---> S= 36/ sqrt3---> here we need to divide by 3 in order to find S/3---> s/3= 12/sqrt3
I understant that is just small silly mistake somewhere but I could not spot it Please help me out Many thanks
Here is how I did it:
We know that the side (S) = x and the area (A) = x^2
The area of an equilateral triangle = √(3) / 4 * s^2
Keep coming up with the wrong answer for this one! Any help would be greatly appreciated.
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
A 6 B 8 C 4√2 D 2√3 E 4√3
If perimeter of equilateral triangle is x, its side must be x/3. If side is x/3, its area must be \((\sqrt{3}/4)*(x/3)^2\)[Area of equilateral triangle of side 'a' is \((\sqrt{3}/4)*a^2\)] Area of triangle = \(x = (\sqrt{3}/4)*(x/3)^2\) \(3*(4/\sqrt{3}) = x/3\) \((4\sqrt{3}) = x/3\) = side of the triangle
Dear Karishma, I lost you way on step: (S/3)^2 * sqrt3/4=S After this step my simplifications I always get: S/3=12/sqrt3
here my calculation: (S/3)^2 * sqrt3/4=S---> S^2/9 * sqrt3/4=S---> S^2*sqrt3 / 36=S---> S^2*sqrt3 / S =36---> S* sqrt3=36---> S= 36/ sqrt3---> here we need to divide by 3 in order to find S/3---> s/3= 12/sqrt3
I understant that is just small silly mistake somewhere but I could not spot it Please help me out Many thanks
Your solution is correct. NOte that I get : \(x/3 = (4\sqrt{3})\) = side of the triangle You get \(S/3=12/\sqrt{3}\)
They are the same. You just need to further simplify to rationalize the denominator.
Re: If the area of an equilateral triangle is x square meters [#permalink]
Show Tags
25 Jul 2014, 03:42
VeritasPrepKarishma wrote:
Saurajm wrote:
HI, can anyone explain how to get to the correct answer from here: (S^2*Square3)/4=3S.... I got S=12/square3 thanks!!
Length of the side = S/3 not S. S is the perimeter of the triangle (actually it is given as x in the original question) So area =\(((S/3)^2*\sqrt{3})/4 = S\) You get \(S = 12*\sqrt{3}\) Length of side = \(S/3 = 12*\sqrt{3}/3 = 4*\sqrt{3}\)
Hey Guys,
sorry to bring this topic up again. I got the right answer by being 80 % sure-guessing, but I couldn't calculate as you did.
Let's say side of triangle = a.
Then: perimeter = x = 3a area = x = \(a^2*\sqrt{3}/4\)
Your math is fine, but you haven't answered the question that was ASKED.
In your last 'step', you've figured out the value of X. The question asks for the length of ONE SIDE of the triangle; X is the PERIMETER of the equilateral triangle, so you have to divide this result by 3 to get the correct answer.
Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...
Post today is short and sweet for my MBA batchmates! We survived Foundations term, and tomorrow's the start of our Term 1! I'm sharing my pre-MBA notes...
“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...
72% (01:24) correct
