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# The area of the Triangle ABC shown in the figure is 30. The area of Tr

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Senior RC Moderator
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The area of the Triangle ABC shown in the figure is 30. The area of Tr  [#permalink]

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01 Jun 2017, 02:55
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Difficulty:

25% (medium)

Question Stats:

83% (01:39) correct 17% (01:40) wrong based on 23 sessions

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The area of the Triangle ABC shown in the figure is 30. The area of Triangle ADC is

(A) 5
(B) 10
(C) 15
(D) 20
(E) 25

Source: Nova GMAT
Difficulty Level: 600

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Re: The area of the Triangle ABC shown in the figure is 30. The area of Tr  [#permalink]

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01 Jun 2017, 03:04
Since the height is common for all three triangles
and the base is 3 for triangle ABC and 1 for triangle ADC.
The bases for the triangles are in ratio 3:1.

Since heights for both the triangles are equal, and
the formula for area is $$\frac{1}{2} * base * height$$
, the areas will also be in the same ratio.

Hence, area of triangle ADC = $$30*\frac{1}{3}$$ = 10(Option B)
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Re: The area of the Triangle ABC shown in the figure is 30. The area of Tr   [#permalink] 01 Jun 2017, 03:04
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