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In the figure above, if the area of triangular region D is 4

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In the figure above, if the area of triangular region D is 4 [#permalink] New post 18 Dec 2012, 05:58
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In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?

(1) The area of square region B is 9.
(2) The area of square region C is 64/9.
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Re: In the figure above, if the area of triangular region D is 4 [#permalink] New post 18 Dec 2012, 06:03
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In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?

The area of triangular region D = \frac{xy}{2} = 4 --> xy=8.
Question: z = \sqrt{x^2+y^2}

(1) The area of square region B is 9 --> x^2=9 --> x=3 --> y=\frac{8}{x}=\frac{8}{3}. Sufficient.

(2) The area of square region C is 64/9 --> y^2=\frac{64}{9} --> y=\frac{8}{3} --> x=\frac{8}{y}=3. Sufficient.

Answer: D.
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Re: In the figure above, if the area of triangular region D is 4 [#permalink] New post 03 Aug 2014, 08:35
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Re: In the figure above, if the area of triangular region D is 4 [#permalink] New post 03 Aug 2014, 22:40
Walkabout wrote:
Attachment:
Region D.png
In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?

(1) The area of square region B is 9.
(2) The area of square region C is 64/9.


We have the area of right triangle D is 4, so if we know one of two legs, we could calculate the hypotenuse or the side of square region A ( using Pythagorean theorem c^2 = a^2 + b^2)

(1) From area of B, we could calculate one of the two legs -> sufficient
(2) From area of C, we could calculate one of the two legs -> sufficient

D is the answer
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Re: In the figure above, if the area of triangular region D is 4   [#permalink] 03 Aug 2014, 22:40
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