uniform width surrounds the pool

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 am; Location: India; Thanked: 267 times; Followed by:80 members; GMAT Score:760

uniform width surrounds the pool

by sanju09 » Mon Oct 24, 2011 2:10 am

A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck?
a. 2 feet
b. 2.5 feet
c. 3 feet
d. 4 feet
e. 5 feet

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vaibhavgupta: Master | Next Rank: 500 Posts; Posts: 416; Joined: Tue Aug 30, 2011 2:18 pm; Location: Delhi, India; Thanked: 13 times; Followed by:9 members

by vaibhavgupta » Mon Oct 24, 2011 3:21 am

sanju09 wrote:A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck?
a. 2 feet
b. 2.5 feet
c. 3 feet
d. 4 feet
e. 5 feet

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Since the combined area = 884
area= (20+2x)(28+2x)
26*34=884

IMO

C

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 am; Location: Utrecht, The Netherlands; Thanked: 318 times; Followed by:52 members

by neelgandham » Mon Oct 24, 2011 3:44 am

From the diagram

Area of the pool + path = (20+2x)*(28*2x) = 884 => [spoiler]x=3, Option C[/spoiler]

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mankey: Legendary Member; Posts: 627; Joined: Thu Jun 23, 2011 9:12 am; Thanked: 4 times; Followed by:1 members

by mankey » Mon Oct 24, 2011 6:29 am

C. What is the OA?

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