SOLUTION: the length of the rectangular garden measures 3 feet more than three times the width of the garden. The perimeter of the garden is 46 feet.

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Question 915614: the length of the rectangular garden measures 3 feet more than three times the width of the garden. The perimeter of the garden is 46 feet.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The length of the rectangular garden measures k feet more than m times the width of the garden. The perimeter of the garden is p feet.

KNOWN: k, m, p
UNKNOWN w for width and L for length

L=mw+k; 2w+2L=p;

2w%2B2%28mw%2Bk%29=p
2w%2B2mw%2B2k=p
2w%2B2mw=p-2k
w%282%2B2m%29=p-2k
highlight%28w=%28p-2k%29%2F%282%2B2m%29%29

L=mw%2Bk
L=m%28%28p-2k%29%2F%282%2B2m%29%29%2Bk
L=m%28p-2k%29%2F%282%2B2m%29%2Bk%282%2B2m%29%2F%282%2B2m%29
L=%28mp-2km%2B2k%2B2km%29%2F%282%2B2m%29
highlight%28L=%28mp%2B2k%29%2F%282%2B2m%29%29

Substitute the known values to evaluate w and L.