SOLUTION: Elka is planning a rectangular garden that is to be twice as long as it is width and the permeter must be at least 120 meters. What is the range of values for the width?

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Question 211231This question is from textbook
: Elka is planning a rectangular garden that is to be twice as long as it is width
and the permeter must be at least 120 meters. What is the range of values for the width?This question is from textbook

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the perimeter (P = 2(L+W)) which must be at least 120 meters (P+%3E=120%29, we have:
2%28L%2BW%29+%3E=120 but L = 2W "...rectangular garden...twice as long as it is wide...", so substitute L = 2W...
2%282W%2BW%29+%3E=120 Simplify the left side and divide both sides by 2.
3W+%3E=+60 Divide both sides by 3.
highlight%28W+%3E=+20%29
The width must be at least 20 meters.