# SOLUTION: The length of a rectangle is 3 times the width. If the length is decreased by 4 and width is increased by 1m, perimeter will be 66 m. Find the dimensions of the original rectangle.

Algebra ->  Algebra  -> Rectangles -> SOLUTION: The length of a rectangle is 3 times the width. If the length is decreased by 4 and width is increased by 1m, perimeter will be 66 m. Find the dimensions of the original rectangle.      Log On

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 Question 338786: The length of a rectangle is 3 times the width. If the length is decreased by 4 and width is increased by 1m, perimeter will be 66 m. Find the dimensions of the original rectangle.Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!width be x length is 3x new dimensions width x+1 length 3x-4 Perimeter = 2*(L+W) 2*(x+1+3x-4)=66 2*(4x-3)=66 8x-6 = 66 add 6 to both sides 8x-6+6= 66+6 8x=72 divide by 8 x= 9 the width length = 3x = 27