24. If the area of triangular region RST is 25, what is the perimeter of RST?
(1) The length of one side of RST is 5 sqrt(2).
(2) RST is a right isosceles triangle.
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
2-q24
This topic has expert replies
-
parallel_chase
- Legendary Member
- Posts: 1153
- Joined: Wed Jun 20, 2007 6:21 am
- Thanked: 146 times
- Followed by:2 members
This question can be answered correctly only if you post the statement I's missing value.stubbornp wrote:24. If the area of triangular region RST is 25, what is the perimeter of RST?
(1) The length of one side of RST is .
(2) RST is a right isosceles triangle.
No rest for the Wicked....
-
raju232007
- Master | Next Rank: 500 Posts
- Posts: 133
- Joined: Sat Dec 29, 2007 2:43 am
- Thanked: 12 times
statement 1:
Length of one side is 5 sqrt(2)
No information about the other sides,,,
Insufficient
statement 2:
RST is a right isosceles triangle
so RS=ST
Area=0.5*RS*ST
25 =0.5*RS^2
50=RS^2
RS=5sqrt(2)
ST=5sqrt(2)
RT^2=ST^2+RS^2
RT^2=(5*sqrt(2))^2+(5*sqrt(2))^2
RT^2=100
RT=10
Perimeter=RS+ST+RT
=5sqrt(2)+5sqrt(2)+10
=10+10sqrt(2)
Hence statement 2 is alone sufficient and the ans should be B
What is the OA?
Length of one side is 5 sqrt(2)
No information about the other sides,,,
Insufficient
statement 2:
RST is a right isosceles triangle
so RS=ST
Area=0.5*RS*ST
25 =0.5*RS^2
50=RS^2
RS=5sqrt(2)
ST=5sqrt(2)
RT^2=ST^2+RS^2
RT^2=(5*sqrt(2))^2+(5*sqrt(2))^2
RT^2=100
RT=10
Perimeter=RS+ST+RT
=5sqrt(2)+5sqrt(2)+10
=10+10sqrt(2)
Hence statement 2 is alone sufficient and the ans should be B
What is the OA?
