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#1 2007-03-15 19:43:40
- soha
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The area......
The area of a square field is 5184 m² .A rectangular field ,whose length is twice of its breadth has its perimeter equal to the perimeter of the square field.Find the area of the rectagular field?
your help will be appreciated
Last edited by soha (2007-03-15 19:44:27)
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#2 2007-03-15 20:21:35
- bluestar9cn
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Re: The area......
the area of the rectagular is 4608.
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#3 2007-03-15 20:33:00
- soha
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Re: The area......
how did u get it
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#4 2007-03-16 00:29:01
- George,Y
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Re: The area......
define a that satisfies
a²=5184
4a=2(2a)=2(2a/3+4a/3)
Area of the Rectangle=(2a/3)(4a/3)= (8/9)a²=4608
Last edited by George,Y (2007-03-16 00:29:22)
X'(y-Xβ)=0
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#5 2007-03-16 14:23:53
- George,Y
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Re: The area......
or you may define the length of the two sides of the rectangular as b and 2b
Thus 4a=2(b+2b) solve and get b=2a/3 and 2b=4a/3
X'(y-Xβ)=0
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#6 2007-03-16 20:36:09
- Kurre
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Re: The area......
try the same problem but instead of the perimeter, the diagonal is the same on the square and the rectangle!
(this was the problem i first solved since i thought perimeter meant diagonal 
)
Last edited by Kurre (2007-03-16 20:37:04)
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#7 2007-03-18 02:02:49
- soha
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Re: The area......
i suppose this somewhat related with square and square roots because this question was in squares chapter
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#8 2007-04-03 01:18:41
- soha
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Re: The area......
please help me in this , coz it has not gone in my head till now , and you all are explaining , but i am unablle to understand , so wHAT WILL I DO ?
its really very very very very confusing.
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#9 2007-04-03 01:43:00
- JaneFairfax
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Re: The area......
Right, lets start from the beginning.
Let each side of the square be x. Then its perimeter is 4x and its area is x[sup]2[/sup]. We know that x[sup]2[/sup] = . ∴ x = √5184 m = 72 m.
Let the breadth of the rectangular field be y. Then its length is 2y. Its perimeter is 2×(2y+y) = 6y. We want this perimeter to be equal to the perimeter of the other field, i.e. we want
6y = 4x = 288 m
∴ y = 288∕6 m = 48 m
Then the area of the rectangular field is 2y×y = 2y[sup]2[/sup]. Substitute for y and youll get the answer, 4 608 m².
Last edited by JaneFairfax (2007-04-03 01:46:19)
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