SOLUTION: What is the length and width of a rectangle that is 80m? The length is 7m more than twice the width. Find the dimensions.

Algebra ->  Rectangles -> SOLUTION: What is the length and width of a rectangle that is 80m? The length is 7m more than twice the width. Find the dimensions.      Log On


   

Question 302143: What is the length and width of a rectangle that is 80m? The length is 7m more than twice the width. Find the dimensions.
Answer by london maths tutor(243) About Me  (Show Source):
You can put this solution on YOUR website!
Let 's the length of the rectangle be "L" and the width of the rectangle be "w".
L = 7 + 2w (The length is 7m more than twice the width.)
Perimeter = 80 m
Perimeter = 2L + 2w = 80 m
2(7+2w) + 2w = 80m
14 + 4w + 2w = 80m
6w = 80 - 14 m
6w = 66 m
w = 66/6 m
w = 11 m
Put w = 11 into L = 7 + 2w
L = 7 + 2(11) m
L = 7 + 22 m
L = 29 m
Answer: Length = 29m and width = 11m