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# What is the area of triangle ODA?

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
What is the area of triangle ODA?  [#permalink]

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06 Sep 2018, 23:54
00:00

Difficulty:

35% (medium)

Question Stats:

78% (01:38) correct 22% (01:26) wrong based on 32 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 [ 3.19 KiB | Viewed 442 times ]

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

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07 Sep 2018, 01:11
Bunuel wrote:

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

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

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08 Sep 2018, 22:09
Bunuel wrote:

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.

1/2 DC x AD = 20
Insufficient.

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