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If ABCD is a rectangle, what is the area of the triangle PQR?

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Bunuel
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If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink] New post   04 Nov 2019, 02:24
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If ABCD is a rectangle, what is the area of the triangle PQR?

(1) DQ = QR = RC
(2) The area of rectangle is 38 square centimetres

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Re: If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink] New post   04 Nov 2019, 02:38
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If ABCD is a rectangle, what is the area of the triangle PQR?

(Statement1): DQ = QR = RC
—> nothing tells us about the rectangular

Insufficient


(2) The area of rectangle is 38 square centimetres
No info about the triangle.
Insufficient

Taken together 1&2,
ab= 38
—> the area of the triangle:
(a* b/3)/2= (a*b)/6 = 38/6= 19/3

Sufficient

The answer is C

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Re: If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink] New post   05 Nov 2019, 22:29
C

Divide the rectangle into triangles
By imaginary lines.

AD/BCE

Now first is insufficient as we don’t know at least one length

So BCE

Now second option alone cannot help us answer.

But together yes sufficient
So C

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If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink] New post   Updated on: 17 Feb 2021, 05:10
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If ABCD is a rectangle, what is the area of the triangle PQR?

Stat1: DQ = QR = RC, still we don't know side length to get area of triangle PQR. Not sufficient.
Stat2: The area of rectangle is 38 square centimetres. we don't know side length to get area of triangle PQR. Not sufficient.

Combining both,

Area of triangle PQR= 1/2 *AD*QR = 1/2* AD* DC/3 = 1/6 * AD*DC = 1/6 * (Area of rectangle). Sufficient.

So, Ans. C. :)

Originally posted by TarunKumar1234 on 19 Dec 2020, 09:16.
Last edited by TarunKumar1234 on 17 Feb 2021, 05:10, edited 1 time in total.
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Re: If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink] New post   16 Feb 2021, 21:00
TarunKumar1234 wrote:
If ABCD is a rectangle, what is the area of the triangle PQR?

Stat1: DQ = QR = RC, still we don't know side length to get area of triangle PQR. Not sufficient.
Stat2: The area of rectangle is 38 square centimetres. we don't know side length to get area of triangle PQR. Not sufficient.

Combining both,

Area of triangle PQR= 1/2 *AD*QR = 1/2* DC/3 * QR = 1/6 * (Area of rectangle). Sufficient.

So, Ans. C. :)


TarunKumar1234 how did you get this last part here? "1/6 * (Area of rectangle)"
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Re: If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink] New post   17 Feb 2021, 05:12
CEdward wrote:
TarunKumar1234 wrote:
If ABCD is a rectangle, what is the area of the triangle PQR?

Stat1: DQ = QR = RC, still we don't know side length to get area of triangle PQR. Not sufficient.
Stat2: The area of rectangle is 38 square centimetres. we don't know side length to get area of triangle PQR. Not sufficient.

Combining both,

Area of triangle PQR= 1/2 *AD*QR = 1/2* DC/3 * QR = 1/6 * (Area of rectangle). Sufficient.

So, Ans. C. :)


TarunKumar1234 how did you get this last part here? "1/6 * (Area of rectangle)"


CEdward

There was a typo error. Corrected! Thanks. :)
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Re: If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink] New post   18 Aug 2023, 22:42
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Re: If ABCD is a rectangle, what is the area of the triangle PQR? [#permalink]
18 Aug 2023, 22:42
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