section 2- #24

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sky828i: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Wed Jun 20, 2007 12:00 pm; Location: st.louis

by sky828i » Sat Sep 08, 2007 3:04 pm

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

can anyone explain why the answer is "b"

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Source: Beat The GMAT — Data Sufficiency | Sat Sep 08, 2007 3:04 pm

ratindasgupta: Senior | Next Rank: 100 Posts; Posts: 98; Joined: Mon Jun 11, 2007 10:32 pm; Location: Mumbai

by ratindasgupta » Sun Sep 09, 2007 10:52 pm

the 1st statement would be insufficient, irrespective of what the figure is.

The second statement is sufficient bcoz, since it is a right angled isosceles triangle, the base and height will be the same. So 1/2(B x H) = 25.
Bx H = 50

So Base and Height are each 5(sq.rt 2)

Since hypotenuse of isoseles right angled triangle is side x (sq.rt 2)
Hypotenuse is 10

So perimeter is 10(sq.rt 2) + 10

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