GRE Prep Club Daily Prep
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If the area of an equilateral triangle is x square meters and the peri
[#permalink]
16 Aug 2022, 08:46
16 Aug 2022, 08:46
Expert Reply
1
Bookmarks
00:00
Question Stats:
58% (01:25) correct
41% (01:47) wrong based on 17 sessions
Hide Show 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?
A. 6
B. 8
C. \(4 \sqrt{2}\)
D. \(2 \sqrt{3}\)
E. \(4 \sqrt{3}\)
A. 6
B. 8
C. \(4 \sqrt{2}\)
D. \(2 \sqrt{3}\)
E. \(4 \sqrt{3}\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: If the area of an equilateral triangle is x square meters and the peri
[#permalink]
19 Aug 2022, 13:05
19 Aug 2022, 13:05
need solution for this
Re: If the area of an equilateral triangle is x square meters and the peri
[#permalink]
19 Aug 2022, 16:42
19 Aug 2022, 16:42
Expert Reply
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
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
