How many linear feet to surround 1500 square feet of lawn?
Unfortunately, "It Depends" - - To determine square footage, you
have to know whether the lawn is square, rectangular, circular, or
some other shape. Assuming a rectangle (or square), the square
footage is determined by multiplying the length by the width.
Linear footage is determined by adding 2 times the length plus 2
times the width. If the lawn is a square, there is only one answer
(as there is only one solution which will give 1500 square feet:
length and width of 38.73-some odd decimal, meaning 2 times length
and 2 times width gives a linear footage of some 154.92 feet).
However, if the lawn is rectangular, there are an infinite number
of answers. Giving three examples to show the range: 1) If the lawn
is 50 feet long by 30 feet wide, that will give (50x30), or 1500
square feet of area and ([50x2]+[30x2]), or 160 linear feet. 2) If
the lawn is 100 feet long by 15 feet wide, that will give (100x15),
or 1500 square feet of area and ([100x2]+[15x2]), or 230 linear
feet. 3) If the lawn is an alleyway in the middle of a big city and
1500 feet long by 1 foot wide, that will still give the required
(1500x1), or 1500 square feet of area...but a whopping
([1500x2]+[1x2]), or 3002 linear feet around! (Note that the square
gives the least linear footage possible for a rectangular-shaped
lawn) Have fun figuring out circular, elliptoid, and other funny
shaped lawns...
