SOLUTION: The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 40 meters and its length is 2 meters more than twice its width. what is its length

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 40 meters and its length is 2 meters more than twice its width. what is its length      Log On


   



Question 716902: The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 40 meters and its length is 2 meters more than twice its width. what is its length
Answer by jndarrell(58) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter of rectangle= sum of all 4 sides or 2(L+W)
Width: 'x'
Length: 2x+2
Perimeter= 40
2(x+2x+2)=40 "OR"
x+x+2x+2+2x+2=40
6x+4=40
Subtract 4 from both sides to get x term alone on one side
6x=36
Divide both sides by 6 to get x alone
x=6
Length= 14m