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question 8 (nov.14th)

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question 8 (nov.14th)

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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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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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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by bacali » Fri Nov 14, 2008 9:08 pm
OA: A
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by bhumika.k.shah » Sun Jan 17, 2010 3:25 am
thankyou cramya :)
its such an easy problem NOW ..
:)
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