SOLUTION: The perimeter of a rectangular rose garden is 400 M. The length is 3 M more than twice the width. Find the length and width.

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Question 607666: The perimeter of a rectangular rose garden is 400 M. The length is 3 M more than twice the width. Find the length and width.
Answer by sophxmai(62) About Me  (Show Source):
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The perimeter of a rectangular rose garden is 400 M. The length is 3 M more than twice the width. Find the length and width.

Let x=length, y=width
2x%2B2y=400
x-3=2y

Solve the 2nd equation for x or y, and then substitute it into the first equation.
x-3=2y
x=2y%2B3

2x%2B2y=400
2%282y%2B3%29%2B2y=400
4y%2B6%2B2y=400
6y=394
y=394%2F6
y=197%2F3

Now substitute y into a previous equation and solve for x.
x=2y%2B3
x=2%28197%2F3%29%2B3
x=394%2F3%2B3
x=403%2F3 or 134%281%2F3%29 depending how you want your answer