SOLUTION: The length of a rectangular garden is 3 yd. more than twice its width. The perimeter of the garden is 36 yd. What are the width and length of the garden?

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular garden is 3 yd. more than twice its width. The perimeter of the garden is 36 yd. What are the width and length of the garden?       Log On


   

Question 237934: The length of a rectangular garden is 3 yd. more than twice its width. The perimeter of the garden is 36 yd. What are the width and length of the garden?
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
width = w
lenght = l = 2w+3
Perimeter = 2w+2l=36
.
2w%2B2l=36
2w%2B2%282w%2B3%29=36
2w%2B4w%2B6=36
6w=36-6
w=30%2F6
w=5 <--- this is your width
.
Since lenght is 2w+3, we can say:
l=2w%2B3
l=%282%2A5%29%2B3
l=10%2B3
1=13
.
Check:
Since there are two widths and two lenghts to form a perimeter of a rectangle, we add: 5+5+13+13=36