question 8 (nov.14th)

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bacali: Master | Next Rank: 500 Posts; Posts: 245; Joined: Thu Aug 16, 2007 12:41 pm

by bacali » Fri Nov 14, 2008 1:30 pm

A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet?

A. 19,200
B. 19,600
C. 20,000
D. 20,400
E. 20,800

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Source: Beat The GMAT — Problem Solving | Fri Nov 14, 2008 1:30 pm

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Fri Nov 14, 2008 1:41 pm

2(l+b) = 560

l+b = 280 (1)

l^2 + b ^2 = 200 ^ 2 (pythagoras theorem) (2)

Square both sides of (1)

l^2 + b ^ 2 + 2lb = 280 ^ 2

Repalce l^ 2+b ^ 2 by 200^ 2 from (2)

200^2 + 2lb = 280^2
2lb = 280^2 - 200 ^ 2

2lb = (280+200) (280-200)
lb = (480*80) / 2
lb = 19200 sq feet

A)

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cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Fri Nov 14, 2008 1:43 pm

Bacali,
Please post OA'S(official correct answers) using spoiler function if possible at teh time of posting the questions.

Regards,
Cramya

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bacali: Master | Next Rank: 500 Posts; Posts: 245; Joined: Thu Aug 16, 2007 12:41 pm

by bacali » Fri Nov 14, 2008 9:08 pm

OA: A

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bhumika.k.shah: Legendary Member; Posts: 941; Joined: Sun Dec 27, 2009 12:28 amFollowed by: 1 member; Thanked: 20 times

by bhumika.k.shah » Sun Jan 17, 2010 3:25 am

thankyou cramya

its such an easy problem NOW ..

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