SOLUTION: the perimeter of a rectangle is 40ft. The ratio of the width to length is 2:3. How do you find the length and the width?

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Question 470666: the perimeter of a rectangle is 40ft. The ratio of the width to length is 2:3. How do you find the length and the width?
Found 2 solutions by sofiyac, Gogonati:
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
2x+2y=40
x%2Fy=2%2F3
x=2y%2F3
2%2A%282y%2F3%29%2B2y=40
4y%2F3%2B2y=40
4y%2F3%2B6y%2F3=40
%284y%2B6y%29%2F3=40
%2810y%29%2F3=40
10y=120
y=12
x=2y%2F3=2%2A12%2F3=24%2F3=8
so the sides are 12 and 8

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let the width be x ft, then the length will be 20-x ft. Since the ratio
W%2FL=2%2F3, we write the equation: x%2F%2820-x%29=2%2F3. Solving this equation
we get:3x=40-2x<=>5x=40<=>x=8.
Answer:The width of the rectangle is 8 ft, and the length 20-8=12 ft.