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The lenght of a rengtangle is four times it's widht. When the lenght is reduced by two units andthe widht inreased by three units. The area of a triangle

becomes 198 sq. units. Find the lenght and the width of the orignal triangle.

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Let x be the width
4x be the length

New rectangle: Length: 4x-2 Width: x+3

L ● W =A
(4x-2) (x+3 ) = 198
2(2x-1) (x+3) =198 (2x-1) (x+3) = 99
2x² +5x -3 = 99
2x² +5x -102 = 0 (2x+17) (x-6) = 0
x=-17/2 ; x=6 [use x=6 because we can not have a negative dimension]

Original dimensions:
Width = 6 units Length = 24 units [from 4x]