Area of triangle

[outreach]

What is the area of triangle OAB in above figure

A. slope of line L is 2
B. m=3


OA : B

using option 1 we can find value of m. hence ans should be D

[aloneontheedge]

Slope of a line is y2-y1/(x2-x1) = 2
0-(-2m)/m-0= 2
2m/m=2
2=2
no idea about m hence insuff

m=3 we can find the co-ordinates hence suff

[Patrick_GMATFix]

The graph already gives us the slope. As you move from (0,-2m) to (m,0), the slope (change in Y/change in X aka rise/run) is 2.

The 1st statement gives us known information. it is not sufficient.

The 2nd statement allows us to derive the exact location of all 3 points in the triangle, so everything is known about the size of the triangle. Don't spend the time to find the area. Sufficient.

Pick B.

For similar high-level Qs, set topic='Geometry, Coordinate' and difficulty='600-700 & 700+' in the Drill Generator

-Patrick

[outreach]

u r right..
A does not give the value of m

Slope of a line is y2-y1/(x2-x1) = 2
0-(-2m)/m-0= 2
2m/m=2
2=2
no idea about m hence insuff

m=3 we can find the co-ordinates hence suff