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]
29 Dec 2010, 17:25

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

73% (02:26) correct
27% (02:29) wrong based on 296 sessions

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?

Re: Equilateral Triangle Question [#permalink]
29 Dec 2010, 19:49

m990540 wrote:

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 _________________

Re: Equilateral Triangle Question [#permalink]
29 Dec 2010, 20:48

1

This post received KUDOS

Expert's post

m990540 wrote:

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 _________________

Re: Equilateral Triangle Question [#permalink]
01 Jan 2012, 00:43

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.

Re: Equilateral Triangle Question [#permalink]
01 Jan 2012, 02:22

Expert's post

BDSunDevil wrote:

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!)\(\sqrt{3}/4 * (x/3)^2 = x^2/12*\sqrt{3}\) _________________

Re: Equilateral Triangle Question [#permalink]
02 Jan 2012, 03:28

1

This post received KUDOS

Expert's post

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 = \(S/3 = 12*\sqrt{3}/3 = 4*\sqrt{3}\) _________________

Re: If the area of an equilateral triangle is x square meters [#permalink]
29 Jul 2013, 02:18

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)

Re: Equilateral Triangle Question [#permalink]
16 Dec 2013, 18:14

VeritasPrepKarishma wrote:

m990540 wrote:

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...

Re: Equilateral Triangle Question [#permalink]
16 Dec 2013, 18:20

3111987 wrote:

VeritasPrepKarishma wrote:

m990540 wrote:

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

Re: Equilateral Triangle Question [#permalink]
16 Dec 2013, 19:23

Expert's post

3111987 wrote:

VeritasPrepKarishma wrote:

m990540 wrote:

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]
25 Jul 2014, 02:42

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 = \(a^2*\sqrt{3}/4\)

Re: If the area of an equilateral triangle is x square meters [#permalink]
18 Apr 2015, 10:52

Expert's post

Hi aimtoteach,

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.

Low GPA MBA Acceptance Rate Analysis Many applicants worry about applying to business school if they have a low GPA. I analyzed the low GPA MBA acceptance rate at...

In out-of-the-way places of the heart, Where your thoughts never think to wander, This beginning has been quietly forming, Waiting until you were ready to emerge. For a long...