SOLUTION: the length of a rectangle is 2 meters less than twice its width, and the perimeter is 338 meters, find the length.

Algebra ->  Rectangles -> SOLUTION: the length of a rectangle is 2 meters less than twice its width, and the perimeter is 338 meters, find the length.      Log On


   

Question 359664: the length of a rectangle is 2 meters less than twice its width, and the perimeter is 338 meters, find the length.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Perimeter is the sum of the length of all sides of the rectangle. P = 2L + 2W

Let w be the width.  Then the length would be (w-2)

2*w + 2(w-2)= 338m

4w - 4 = 338m

4w = 342m

w = 85.5m 

length = (85.5m - 2) = 83.5m

checking our answer

2*85.5m + 2*83.5m = 338m