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We have a rectangle ABCD that is NOT a square or rhombus.

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We have a rectangle ABCD that is NOT a square or rhombus. [#permalink] New post 10 Nov 2007, 03:16
We have a rectangle ABCD that is NOT a square or rhombus. The diagonals cross at E. If area of AEB is 44, is the area of AED also 44?
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Re: Area & Diagonals [#permalink] New post 10 Nov 2007, 05:45
bmwhype2 wrote:
We have a rectangle ABCD that is NOT a square or rhombus. The diagonals cross at E. If area of AEB is 44, is the area of AED also 44?


Yes - Assume sides of AEB are 8 and 11 then 8*11/2 = 44 the area of the rectangular is 8*11 = 88.

So the area of AED is 88-44 = 44.

the area of AED and AEB will be different only if the sides of the rectangular are both odd numbers (i.e 5 and 13).

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Re: Area & Diagonals [#permalink] New post 15 Dec 2007, 05:14
bmwhype2 wrote:
We have a rectangle ABCD that is NOT a square or rhombus. The diagonals cross at E. If area of AEB is 44, is the area of AED also 44?


Yes it will be 44 only . triangles AEB AED , ECB & ECD will have same area irrespective of the sides of the rectangle
Re: Area & Diagonals   [#permalink] 15 Dec 2007, 05:14
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We have a rectangle ABCD that is NOT a square or rhombus.

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