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In the figure above, what is the area of triangular region B

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In the figure above, what is the area of triangular region B [#permalink]

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E) \(16\sqrt{2}\)

Problem Solving
Question: 71
Category: Geometry Triangles; Area
Page: 71
Difficulty: 550


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Re: In the figure above, what is the area of triangular region B [#permalink]

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New post 03 Feb 2014, 01:13
SOLUTION

Image
In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E) \(16\sqrt{2}\)

Using Pythagorean theorem \(BD=\sqrt{4^2+4^2}=4\sqrt{2}\).

The area of triangle BCD = \(\frac{1}{2}*BD*BC=\frac{1}{2}*4\sqrt{2}*4=8\sqrt{2}\).

Answer: C.
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Re: In the figure above, what is the area of triangular region B [#permalink]

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In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E) \(16\sqrt{2}\)



Sol: In the given question Triangle ABD is isosele with sides AB=AD=4 and therefore BD=4\(\sqrt{2}\)

Area of triangle BCD is 1/2*4*4\(\sqrt{2}\)

600 level is okay
Ans is C
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Re: In the figure above, what is the area of triangular region B [#permalink]

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New post 03 Feb 2014, 08:05
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its C.


BD will be 4square root 2. (that will be base) * 4/2=8 square root 2.
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Re: In the figure above, what is the area of triangular region B [#permalink]

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New post 03 Feb 2014, 11:16
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Ans C

First we calculate BD by Hypotenuse Theorem:
BD=\sqrt{4^2+4^2}=4\sqrt{2}

Area BCD=1/2 * 4\sqrt{2} * 4= 8\sqrt{2}
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Re: In the figure above, what is the area of triangular region B [#permalink]

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New post 08 Feb 2014, 02:47
SOLUTION

Image
In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E) \(16\sqrt{2}\)

Using Pythagorean theorem \(BD=\sqrt{4^2+4^2}=4\sqrt{2}\).

The area of triangle BCD = \(\frac{1}{2}*BD*BC=\frac{1}{2}*4\sqrt{2}*4=8\sqrt{2}\).

Answer: C.
_________________

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Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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, what is the area of triangular region B [#permalink]

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Re: In the figure above, what is the area of triangular region B [#permalink]

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New post 31 Mar 2017, 06:50
Hello from the GMAT Club BumpBot!

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Re: In the figure above, what is the area of triangular region B   [#permalink] 31 Mar 2017, 06:50
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