Tetsukunviz
Answered

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.

Sagot :

AnneCviz
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]