SOLUTION: A garden is shaped like a rectangle whose perimeter is 92 feet. The length is 6 feet more than the width. Find the length and the width.

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Question 953225: A garden is shaped like a rectangle whose perimeter is 92 feet. The length is 6 feet more than the width. Find the length and the width.
Found 2 solutions by macston, EdenWolf:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width; L=length=W+6ft; P=perimeter=2(L+W)=92 feet
P=2(L+W) Substitute for L.
92ft=2(W+6ft+W) Divide each side by 2.
46ft=2W+6ft Subtract 6ft from each side.
40ft=2W Divide each side by 2.
20ft=W ANSWER 1: The width is 20 feet.
L=W+6ft=20ft+6ft=26ft ANSWER 2: The length is 26 feet.
CHECK:
P=2(L+W)
92ft=2(26ft+20ft)
92ft=2(46ft)
92ft=92ft

Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
Let w represent the width and (w+6) represent the length. Let us set up an equation. (The formula for a rectangle's perimeter is P=2%28l%2Bw%29.)
92=2%28w%2B6%2Bw%29
46=2w%2B6
40=2w
20=w
So we have the width, but wait, we must find the length too! Plug in 20 into w%2B6.
20%2B6
26
The width is 20 feet and the length is 26 feet.
Hope I helped.