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# In the figure below, ABCD is a rectangle. What is the area of the semi

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Intern
Joined: 29 Aug 2010
Posts: 15

Kudos [?]: 15 [0], given: 124

In the figure below, ABCD is a rectangle. What is the area of the semi [#permalink]

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29 Oct 2017, 01:33
00:00

Difficulty:

25% (medium)

Question Stats:

87% (00:59) correct 13% (01:28) wrong based on 31 sessions

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In the figure below, ABCD is a rectangle. What is the area of the semi-circular region with centre O and diameter BC?
Attachment:

Rectangle.PNG [ 4.29 KiB | Viewed 253 times ]

(1) $$\frac{BC}{AB}$$ = $$\frac{3}{4}$$
(2) $$BD = 25$$
[Reveal] Spoiler: OA

Kudos [?]: 15 [0], given: 124

Senior Manager
Joined: 28 May 2014
Posts: 320

Kudos [?]: 190 [0], given: 83

GMAT 1: 730 Q49 V41
Re: In the figure below, ABCD is a rectangle. What is the area of the semi [#permalink]

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29 Oct 2017, 07:52
To get the area of the semicircle, we need to know the length of BC

(1) BC/AB = 3/4

AB = CD; So, we can say BC/CD = 3/4 and <BCD = 90
Hence, Δ BCD = 3-4-5 right triangle.

But, BC can be 3 or any multiple of 3. Hence, Insuff.

(2) BD=25:

No information of CD. Insuff.

(1) & (2) together,

from (1) BC: CD : BD = 3 : 4 : 5
from 2 BD = 25; Hence, BC = 15; Sufficient

Ans: C

Kudos [?]: 190 [0], given: 83

Re: In the figure below, ABCD is a rectangle. What is the area of the semi   [#permalink] 29 Oct 2017, 07:52
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