bmwhype2
GMAT TIGER
bmwhype2
What is the area of |x| + |y| = 10?
20
50
100
200
400
i hate vauge/unclear question.
"max area covered by the given equation" makes the question more sense.
x and y could vary from -10 to 10.so area is 200.
Can you explain that?
This is a Challenge Q.
see, lxl + lyl = 10
if x = -10, y = 0 and if x = 10, y = 0. the same is true with x if y is either -10 or 10. so the possible co-ordinates of x and y are: (10, 0) (-10, 0) (0, 10) (0, -10).
linking these points forms a square with each side 10sqrt2.
so area = (10sqrt2)^2 = 200
if x and y are each l5l, x,y can have the following co-ordinates: (5, 5), (5, -5), (-5, 5), and (-5, -5). joining these points also forms a square. in this case, the area would be 100.
therefore, the question vauge/unclear.