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What is the area of a triangle made by x>-1, y>1 and ....
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12 Dec 2015, 21:28
12 Dec 2015, 21:28
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I am struggling with this question and the answer is E
but I don't know a definite way to solve this question.
What is the area of a triangle made by x>=-1, y>=1 and y<= -x/2+5/2
A) 2
B) 2.5
C) 3
D) 3.5
E) 4
but I don't know a definite way to solve this question.
What is the area of a triangle made by x>=-1, y>=1 and y<= -x/2+5/2
A) 2
B) 2.5
C) 3
D) 3.5
E) 4
Re: What is the area of a triangle made by x>-1, y>1 and ....
[#permalink]
13 Dec 2015, 14:56
13 Dec 2015, 14:56
1
Expert Reply
maverickjin8 wrote:
I am struggling with this question and the answer is E
but I don't know a definite way to solve this question.
What is the area of a triangle made by x>=-1, y>=1 and y<= -x/2+5/2
A) 2
B) 2.5
C) 3
D) 3.5
E) 4
but I don't know a definite way to solve this question.
What is the area of a triangle made by x>=-1, y>=1 and y<= -x/2+5/2
A) 2
B) 2.5
C) 3
D) 3.5
E) 4
We need 3 lines for a triangle. The first one is \(x = -1\) and the second one is \(y = 1\). Now these two lines are perpendicular to each other.
Now the third line is \(y = \frac{-x}{2} + 2.5\).
Now \(x = -1\) and \(y = \frac{-x}{2} + 2.5\) intersect at (-1, 3).
Now \(y = 1\) and \(y = \frac{-x}{2} + 2.5\) intersect at (3, 1).
The third point of the triangle is (-1, 1). So the two sides of triangle is 2 and 4.
Area of triangle is \(\frac{1}{2} * 2 * 4\) = 4
PS: It is easier to solve graphically!
gmatclubot
Re: What is the area of a triangle made by x>-1, y>1 and .... [#permalink]
13 Dec 2015, 14:56
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