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# Area of rectangle

### mendelay

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Manager
Joined: 21 Jul 2009
Posts: 242

Kudos [?]: 138 [0], given: 23

Location: New York, NY

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02 Sep 2009, 17:23
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Question Stats:

100% (02:29) correct 0% (00:00) wrong based on 2 sessions

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

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

[Reveal] Spoiler:
A

Last edited by mendelay on 17 Sep 2009, 09:07, edited 2 times in total.

Kudos [?]: 138 [0], given: 23

Manager
Joined: 25 Aug 2009
Posts: 174

Kudos [?]: 108 [0], given: 12

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02 Sep 2009, 17:40
Let a and b are the sides of rect.

=> 2*(a+b) = 560

=> a+b = 280

Also, Diagonal = $$a^2 + b^2 = (200)^2$$

=> $$(a+b)^2 - 2ab = (200)^2$$

=> $$(280)^2 - (200)^2 = 2ab$$

=> ab = 19,200

Kudos [?]: 108 [0], given: 12

Re: Area of rectangle   [#permalink] 02 Sep 2009, 17:40
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