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In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN.

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In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN.  [#permalink]

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New post 05 Aug 2018, 23:19
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A
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D
E

Difficulty:

  35% (medium)

Question Stats:

78% (01:09) correct 22% (01:39) wrong based on 32 sessions

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Geometry_1.JPG
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In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN. What is the area of the triangle RAD

1. Area of triangle CBS = 85
2. Area of triangle RAC = 50

Source: Experts Global

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In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN.  [#permalink]

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New post 06 Aug 2018, 00:21
pushpitkc wrote:
Attachment:
Geometry_1.JPG


In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN. What is the area of the triangle RAD

1. Area of triangle CBS = 85
2. Area of triangle RAC = 50

Source: Experts Global


Since PQ || MN, hence distance between the two lines is same.

Question stem:- What is the area of the triangle RAD?
Area=\(\frac{1}{2}\)*base*height=1/2*(RC+CD)*height=\(\frac{1}{2}\)*(10+5)*height=\(\frac{1}{2}\)*15*height
So, the only unknown parameter to determine area is height. The statement that will provide the measure of height would be sufficient.

St1:-Area of triangle CBS = 85
Or, \(\frac{1}{2}\)*(CD+DS)*height=85
Or, \(\frac{1}{2}\)*17*height=85
So, height can be determined.
Sufficient.

St2:-Area of triangle RAC = 50
Or, \(\frac{1}{2}\)*10*height=50
So, height can be determined.
Sufficient.

Ans. (D)
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Re: In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN.  [#permalink]

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New post 06 Aug 2018, 02:04
pushpitkc wrote:
Attachment:
Geometry_1.JPG


In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN. What is the area of the triangle RAD

1. Area of triangle CBS = 85
2. Area of triangle RAC = 50

Source: Experts Global




its interesting question..


area of triangle is >> 1/2 * base * height

as two lines are parallel height will remain same, figure for base is available.


either of the statement can be used to crack the answer. hence, "d"
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Re: In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN. &nbs [#permalink] 06 Aug 2018, 02:04
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In the figure shown, RC = 10, CD = 5, DS = 12 and PQ || MN.

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