In the figure above, the perimeter of ∆MNP is how much greater than the perimeter of the shaded region?
A. \(2+\sqrt{2}\)
B. \(6\)
C. \(8\sqrt{2}\)
D. \(6+3\sqrt{2}\)
E. \(6+8\sqrt{2}\)
The OA is D
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
In the figure above, the perimeter of ∆MNP is how much
This topic has expert replies
-
BTGmoderatorLU
- Moderator
- Posts: 2207
- Joined: Sun Oct 15, 2017 1:50 pm
- Followed by:6 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Source: GMAT Paper Tests
In the figure above, the perimeter of ∆MNP is how much greater than the perimeter of the shaded region?
A. \(2+\sqrt{2}\)
B. \(6\)
C. \(8\sqrt{2}\)
D. \(6+3\sqrt{2}\)
E. \(6+8\sqrt{2}\)
The OA is D
In the figure above, the perimeter of ∆MNP is how much greater than the perimeter of the shaded region?
A. \(2+\sqrt{2}\)
B. \(6\)
C. \(8\sqrt{2}\)
D. \(6+3\sqrt{2}\)
E. \(6+8\sqrt{2}\)
The OA is D
GMAT/MBA Expert
-
Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
We see ∆MNP is an isosceles rightangled triangle; thus, MN is the hypotenuse of the triangle. Length of MN = 8√2BTGmoderatorLU wrote:Source: GMAT Paper Tests
In the figure above, the perimeter of ∆MNP is how much greater than the perimeter of the shaded region?
A. \(2+\sqrt{2}\)
B. \(6\)
C. \(8\sqrt{2}\)
D. \(6+3\sqrt{2}\)
E. \(6+8\sqrt{2}\)
The OA is D
Perimeter of ∆MNP = 8√2 + 8 + 8 = 8(2 + √2) meters
Similarly, the shaded triangle is also an isosceles rightangled triangle; thus, its hypotenuse = 5√2
Perimeter of the shaded triangle = 5√2 + 5 + 5 = 5(2 + √2) meters
The perimeter of ∆MNP is 8(2 + √2) - 5(2 + √2) = 3(2 + √2) = 6 + 3√2 greater than the perimeter of the shaded region.
The correct answer: D
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: Manhattan Review GMAT Prep | Free SAT Practice Questions | LSAT Prep Courses Oxford | SAT Prep Courses Singapore | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
