SOLUTION: Hello, perimeter of rectangle is 68 ft. the length of the garden is 1ft more than 2 times the width. What is length of garden? 11ft, 16ft, 18ft, 23ft

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello, perimeter of rectangle is 68 ft. the length of the garden is 1ft more than 2 times the width. What is length of garden? 11ft, 16ft, 18ft, 23ft      Log On


   

Question 897409: Hello,
perimeter of rectangle is 68 ft. the length of the garden is 1ft more than 2 times the width. What is length of garden?
11ft, 16ft, 18ft, 23ft
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
Let x to be the length while y to be width.

Perimeter=x%2By%2Bx%2By
68=2x%2B2y
34=x%2By
From question,
x=2y%2B1 ... Substitute into 34=x%2By
34=%282y%2B1%29%2By
34=3y%2B1
33=3y
33%2F3=y
y=11, where width, y = 11 ft.
To find length, x, substitute y=11 into 34=x%2By.
34=x%2B11
x=23
Therefore, length of garden is 23 ft.