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Point P is on the line y = 2x + a. The x-coordinate of P is 4. The area of the shaded quadrilateral is 24. What is th

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by Max@Math Revolution » Wed Jan 15, 2020 12:20 am
[GMAT math practice question]

Point P is on the line y = 2x + a. The x-coordinate of P is 4. The area of the shaded quadrilateral is 24. What is the value of a?
1.15ps.png
A. 1
B. 4/3
C. 2
D. 7/6
E. 3
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Re: Point P is on the line y = 2x + a. The x-coordinate of P is 4. The area of the shaded quadrilateral is 24. What i

by Max@Math Revolution » Fri Jan 17, 2020 12:04 am
=>

When we substitute x with 4, we have the point P(4, a+8).
The area of the trapezoid is (1/2)(a + a + 8)*4 = 2(2a + 8) = 24 and we have 2a * 8 = 12 or a = 2.

Therefore, C is the answer.
Answer: C
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