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# What is the perimeter of a rhombus ? (1) Its area is 140 sq

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Manager
Joined: 06 Jun 2003
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What is the perimeter of a rhombus ? (1) Its area is 140 sq [#permalink]

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10 Dec 2003, 15:11
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What is the perimeter of a rhombus ?
(1) Its area is 140 sq meters
(2) One of its diagonals is 48 meters

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Director
Joined: 28 Oct 2003
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10 Dec 2003, 15:46
Both together are sufficient.

From the area formula A = .5(d1d2) , knowing one diagonal you can solve for the other.

For kicks--
140=.5*48*x
140=24x
x=5/6

(I think)

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Manager
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10 Dec 2003, 17:13
The "official" answer is D, but as far as I know, you cannot relate the length of one diagonal of a rhombus to its sides. I think it should be C as well.

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SVP
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14 Dec 2003, 22:18
area od rhombus = ( d1 * d2 ) /2
perimeter of rhombus = 4a
a = sqrt( sqr(d1/2) + sqr(d2/2) )
Answer should be D because we can find d1 and d2 given bothe the conditions.

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Director
Joined: 13 Nov 2003
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14 Dec 2003, 23:12
anandnk wrote:
area od rhombus = ( d1 * d2 ) /2
perimeter of rhombus = 4a
a = sqrt( sqr(d1/2) + sqr(d2/2) )
Answer should be D because we can find d1 and d2 given bothe the conditions.

could you pls put in the values and show how both statements, individually, are sufficient??

A) area = d1.d2/2
B) D1=48

how do we find "a" using these independently???

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Manager
Joined: 26 Aug 2003
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15 Dec 2003, 10:08
anandnk wrote:
area od rhombus = ( d1 * d2 ) /2
perimeter of rhombus = 4a
a = sqrt( sqr(d1/2) + sqr(d2/2) )
Answer should be D because we can find d1 and d2 given bothe the conditions.

Agree... kudos!

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Intern
Joined: 04 Oct 2003
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21 Dec 2003, 13:00
I think what anand meant was C. Since it said "since both are given....". Anand is this what you meant.

I think Ans is C.

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CEO
Joined: 15 Aug 2003
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07 Jan 2004, 04:03
anandnk wrote:
area od rhombus = ( d1 * d2 ) /2
perimeter of rhombus = 4a
a = sqrt( sqr(d1/2) + sqr(d2/2) )
Answer should be D because we can find d1 and d2 given bothe the conditions.

how do you get D?

shouldnt it be C?

Kudos [?]: 925 [0], given: 781

07 Jan 2004, 04:03
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