Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 Jul 2015, 16:59

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Size of the room - Length = 12 - Width = 16 - Height =

Author Message
TAGS:
Director
Joined: 14 Sep 2005
Posts: 993
Location: South Korea
Followers: 2

Kudos [?]: 49 [0], given: 0

Size of the room - Length = 12 - Width = 16 - Height = [#permalink]  25 Nov 2005, 05:23
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Size of the room

- Length = 12
- Width = 16
- Height = 10

On the middle of the ceiling, there is a light.

What is the maximum length between the light and the corner of the room?
_________________

Auge um Auge, Zahn um Zahn !

SVP
Joined: 24 Sep 2005
Posts: 1891
Followers: 12

Kudos [?]: 160 [0], given: 0

Re: PS - Light in a room [#permalink]  25 Nov 2005, 05:50
gamjatang wrote:
Size of the room

- Length = 12
- Width = 16
- Height = 10

On the middle of the ceiling, there is a light.

What is the maximum length between the light and the corner of the room?

the longest distance from the light is from it to one of the four lower/floor corner of the room , called D
the distance from the light to one corner of the ceiling = 1/2 sqrt( 12^2+16^2) = 10
D= sqrt (10^2+ height^2) = 10sqrt2
Director
Joined: 24 Oct 2005
Posts: 660
Location: London
Followers: 1

Kudos [?]: 9 [0], given: 0

Consider this as two right triangles.

1st take the floor. The mid point is with length 6 and width 8. So From corner to midpoint on floor = sqrt ( 8 * 6) = 10.
Now height is 10. From corner to midpoint on floor is 10.
So corner to midpoint on ceiling is 10 sqrt(2)
Current Student
Joined: 29 Jan 2005
Posts: 5240
Followers: 23

Kudos [?]: 191 [0], given: 0

We need to do a little three dimentional speculation here. The hypotnuse of the ceiling is 12^2+16^2=sqrt400=20 since the light is in the middle, half the hypotnuse to <any> corner is 10. Use the height of the room as the leg and half the hypotnuse as the other leg and dropping the new hypotnuse down to the corner. 10^2+10^2=sqrt200=10sqrt2
Similar topics Replies Last post
Similar
Topics:
4 The length of a rectangular floor is twice its width. The 4 02 Nov 2013, 13:09
4 The length and width of a rectangle are integer values. 8 05 May 2013, 23:12
The ratio of the length to the width of a rectangular advert 3 12 Dec 2012, 09:13
There is a rectangular frame with length 18" and width 4 26 Aug 2008, 22:35
The length of a picture is 10 cm and the width of the 7 27 Nov 2007, 19:22
Display posts from previous: Sort by