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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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Attachment:
Region D.png
Region D.png [ 14.72 KiB | Viewed 3352 times ]
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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Attachment:
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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] New post 29 Nov 2014, 08:46
Bunuel wrote:
Attachment:
Region D2.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 ?

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.


Hi Bunnel,
I wonder why aren't we using the hypotenuse as one of the sides when calculating the area??
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Re: In the figure above, if the area of triangular region D is 4 [#permalink] New post 29 Nov 2014, 08:52
Expert's post
LaxmiReddy wrote:
Bunuel wrote:
Attachment:
Region D2.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 ?

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.


Hi Bunnel,
I wonder why aren't we using the hypotenuse as one of the sides when calculating the area??


Check here: math-triangles-87197.html
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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: In the figure above, if the area of triangular region D is 4   [#permalink] 29 Nov 2014, 08:52
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