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17 Sep 2019, 22:05
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:27) correct
27%
(01:24)
wrong
based on 107
sessions
History
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Time
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Not Attempted Yet
What is the area of the trapezoid if PQ is parallel to RS, RS > PQ, the distance between the two parallel lines is 15, and the distance from R to the perpendicular drawn from P to RS is 10?
(1) \(PR =\sqrt{325}\)
(2) \(QS =\sqrt{325}\)
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17 Sep 2019, 22:43
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What is the area of the trapezoid if PQ is parallel to RS, RS > PQ, the distance between the two parallel lines is 15, and the distance from R to the perpendicular drawn from P to RS is 10?
STATEMENT (1)--PR=\(\sqrt{325}\)
this statement gives no new information about the trapezoid
we can derive it from the question prompt
still, we don't know anything about QS (trapezoid can be scalene , isosceles we don't know)
so we cant find RS
area of trapezoid = \(\frac{(PQ+RS)*15}{2}\)
we don't know anything about RS so, we can't find the area of a trapezoid
INSUFFICIENT
STATEMENT (2)--QS=\(\sqrt{325}\)
we know that PR = \(\sqrt{325}\)
from this statement we know QS = \(\sqrt{325}\)
this proves that trapezoid is isoceles
so we can find the value of RS that is = 10+30+10 = 50
area of trapezoid = \(\frac{(PQ+RS)*15}{2}\) = \(\frac{(30+50)*15}{2}\) = 600
SUFFICIENT
B is the correct answer
STATEMENT (1)--PR=\(\sqrt{325}\)
this statement gives no new information about the trapezoid
we can derive it from the question prompt
still, we don't know anything about QS (trapezoid can be scalene , isosceles we don't know)
so we cant find RS
area of trapezoid = \(\frac{(PQ+RS)*15}{2}\)
we don't know anything about RS so, we can't find the area of a trapezoid
INSUFFICIENT
STATEMENT (2)--QS=\(\sqrt{325}\)
we know that PR = \(\sqrt{325}\)
from this statement we know QS = \(\sqrt{325}\)
this proves that trapezoid is isoceles
so we can find the value of RS that is = 10+30+10 = 50
area of trapezoid = \(\frac{(PQ+RS)*15}{2}\) = \(\frac{(30+50)*15}{2}\) = 600
SUFFICIENT
B is the correct answer
17 Sep 2019, 22:49
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IMO ANSWER IS OPTION B. Here's how I did:
Posted from my mobile device
Posted from my mobile device
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