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bmwhype2
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bmwhype2
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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.
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beckee529
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i don't get this question.. which challenge is this?
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GMAT TIGER
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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.
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This is how I think

lxl + lyl = 10
Let area be lxllyl = n

Replace lxl by n/lyl

lyl + n/lyl = 10

So lyl^2 - 10lyl + n =0

only n = 200 provide solution for this
(lyl - 20) (lyl - 10)

So 200


:roll:



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