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What is the area of triangle ODA?

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What is the area of triangle ODA?  [#permalink]

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New post 06 Sep 2018, 23:54
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

77% (01:28) correct 23% (01:20) wrong based on 30 sessions

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What is the area of triangle ODA?

(1) OD is half the length of DC
(2) The area of ADC is 20.


Attachment:
image008.jpg
image008.jpg [ 3.19 KiB | Viewed 399 times ]

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Re: What is the area of triangle ODA?  [#permalink]

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New post 07 Sep 2018, 01:11
Bunuel wrote:
Image
What is the area of triangle ODA?

(1) OD is half the length of DC
(2) The area of ADC is 20.


Attachment:
image008.jpg


Question: area of triangle ODA = (1/2)*OD*DA = ?

Statement 1: OD is half the length of DC

i.e. Area of ODA = (1/2) Area of ADC [Property: The ratio of area of triangles = ratio of the ir bases if heights are same for both triangles]

But no dimensions or the value of area is unknown hence
NOT SUFFICIENT

Statement 2: The area of ADC is 20

The ratio of OD and DC is unknown hence

NOT SUFFICIENT

Combining the two statements
The area of ADC is 20 and OD is half the length of DC
i.e. Area of OAD = (1/2)20 = 10

SUFFICIENT

Answer: option C
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Re: What is the area of triangle ODA?  [#permalink]

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New post 08 Sep 2018, 22:09
Bunuel wrote:
Image
What is the area of triangle ODA?

(1) OD is half the length of DC
(2) The area of ADC is 20.


Attachment:
image008.jpg


S1 - OD=1/2 DC
No values given. Insufficient.

S2 - Area ADC=20
1/2 DC x AD = 20
DC x AD = 40
Insufficient.

Combining, area ODA = 1/2 x OD x DA = 1/2 x 1/2 DC x AD = 1/4 x 40 = 10
Sufficient.
Answer C.
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Re: What is the area of triangle ODA? &nbs [#permalink] 08 Sep 2018, 22:09
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