SOLUTION: A square garden plot measures 180 square feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that requi

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Question 621399: A square garden plot measures 180 square feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that required for the first garden plot?
Answer by nerdybill(7384) About Me  (Show Source):
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A square garden plot measures 180 square feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that required for the first garden plot?
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"A square garden plot measures 180 square feet.":
Let x = length of one side of square
then
x%5E2+=+180
x+=+sqrt%28180%29
x+=+sqrt%283%2A3%2A2%2A2%2A5%29
x+=+3%2A2sqrt%285%29
x+=+6sqrt%285%29 feet
perimeter = 4x = 4%2A6sqrt%285%29 = 24sqrt%285%29 feet
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"A second square garden plot measures 405 square feet."
Let x = length of one side of square
then
x%5E2+=+405
x+=+sqrt%28405%29
x+=+sqrt%283%2A3%2A3%2A3%2A5%29
x+=+3%2A3sqrt%285%29
x+=+9sqrt%285%29 feet
perimeter = 4x = 4%2A9sqrt%285%29 = 36sqrt%285%29 feet
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"How many more feet of fence will the second garden plot require over that required for the first garden plot?"
36sqrt%285%29+-+24sqrt%285%29
%2836-24%29sqrt%285%29
12sqrt%285%29 feet