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In the figure above, the area of triangular region PQR is 36.What is

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In the figure above, the area of triangular region PQR is 36.What is  [#permalink]

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New post 06 Sep 2017, 04:37
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A
B
C
D
E

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In the figure above, the area of triangular region PQR is 36.What is the area of the triangular region SQR?

(A) 12
(B) 16
(C) 24
(D) 30
(E) 36

Attachment:
2017-09-06_1535.png
2017-09-06_1535.png [ 7.32 KiB | Viewed 735 times ]

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Re: In the figure above, the area of triangular region PQR is 36.What is  [#permalink]

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New post 06 Sep 2017, 05:00
Given figure triangle QPS is right triangle
so base PS = root(PS^2-PQ^2) = root(5^2-4^2)=3
Area PQS = 1/2 *4*3 = 6

Given area of PQR=36

So area SQR =Area PQR- Area PQS = 36-6 = 30

Answer: D
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Re: In the figure above, the area of triangular region PQR is 36.What is  [#permalink]

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New post 06 Sep 2017, 05:13
Quote:
Given figure triangle QPS is right triangle
so base PS = root(PS^2-PQ^2) = root(5^2-4^2)=3


You might also recognize that triangle QPS is a 3-4-5 right triangle to save some time.

I agree with D as the answer
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Re: In the figure above, the area of triangular region PQR is 36.What is  [#permalink]

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New post 06 Sep 2017, 05:25
markr89 wrote:
Quote:
Given figure triangle QPS is right triangle
so base PS = root(PS^2-PQ^2) = root(5^2-4^2)=3


You might also recognize that triangle QPS is a 3-4-5 right triangle to save some time.

I agree with D as the answer



Yes. 3-4-5 is basic right triangle. I just wrote full procedure for the sake of detailed explanation.
:)

When i personally solve the question, i dont do all these procedures.
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Re: In the figure above, the area of triangular region PQR is 36.What is  [#permalink]

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New post 11 Sep 2017, 10:54
Bunuel wrote:
Image
In the figure above, the area of triangular region PQR is 36.What is the area of the triangular region SQR?

(A) 12
(B) 16
(C) 24
(D) 30
(E) 36

Attachment:
2017-09-06_1535.png


We see that triangle PRS is a 3-4-5 right triangle. Thus, the area of triangle PQS is 4 x 3 x 1/2 = 6.

So, the area of triangle SQR is 36 - 6 = 30.

Answer: D
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Re: In the figure above, the area of triangular region PQR is 36.What is &nbs [#permalink] 11 Sep 2017, 10:54
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