# 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.

1
by tetsukun
The area of the Triangle? Or is that supposed to be rectangle?

2014-06-30T00:00:17+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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]
What a mess. Sorry, i typed this with my phone
you're welcome :) i just edited it, should be fine now
can it be like this: 4x^2 +10x-6=198 instead of 2x^2+5x-3=99?
yes. i just divided it by two to make it easier to factor
thank you.