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# The area of

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The area of [#permalink]  09 Jun 2018, 08:37
Expert's post
00:00

Question Stats:

91% (00:24) correct 8% (01:11) wrong based on 23 sessions
Attachment:

#GREpracticequestion The area of triangle OPQ.jpg [ 14.44 KiB | Viewed 649 times ]

The area of $$\Delta OPQ$$ is the figure above is

A. 6

B. 12

C. 14

D. 21

E. 42
[Reveal] Spoiler: OA

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Active Member
Joined: 29 May 2018
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Kudos [?]: 108 [0], given: 4

Re: The area of [#permalink]  09 Jun 2018, 11:17
Carcass wrote:
Attachment:
triangle.jpg

The area of \Delta OPQ is the figure above is

A. 6

B. 12

C. 14

D. 21

E. 42

Simplest formula , when triangle has (0,0) as its one of its vertices then other two sides (a,b) and (c,d) are considered.

In our case ( 2,7 ) as (a,b) and (6,0) as (c,d).

then formula for triangle area is = |ad - bc | / 2 => | 0 - 42 | / 2 => 21.

Option D.
Founder
Joined: 18 Apr 2015
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Kudos [?]: 3365 [0], given: 12152

Re: The area of [#permalink]  09 Jun 2018, 11:21
Expert's post
Elegant solution but you waste time during the exam, performing such process. However, it is not wrong at all, though.

$$A= \frac{b*h}{2}$$

$$\frac{7*6}{2} = \frac{42}{2} = 21$$

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Re: The area of   [#permalink] 09 Jun 2018, 11:21
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