I know that a mile is 5280 linear feet and that one square acre is 43,560 square feet but I'm having difficulty determining the lineal length of the outside perimeter. I want to jog around my property and figure out how many laps I have to do to reach a mile or five miles,etc. thanks.
2007-06-17 03:51:18 · 8 answers · asked by Sean 3 in Science & Mathematics ➔ Mathematics
An acre is defined as 1/640 of a square mile.
5280^2/640 = 43,560 sq. ft. ( you are correct).
So 5 acres would be 5*43560 or 217,800 sq. ft.
If the property was a square shape : sqrt(217,800) = 466.69
ft. on each side.
A mile would be 5280/(4*466.69) = 2.83 or almost 3 complete laps.
One acre is sqrt(43,560) = 208.71 feet. x 208.71 feet.
If the five acres were side by side it would be a rectangle
(5 * 208.71) 1,043.55 x 208.71 and the perimeter would be
2,504.52 feet.
A mile would be 2.1 laps.
The perimeter not only depends on the total area but also the shape.
Since you gave no information on the property's shape
I can only give you a range of possible laps from 2.1
to 2.83 laps around the property for one mile distance.
2007-06-24 14:08:19 · answer #1 · answered by jimschem 4 · 1⤊ 0⤋
A furlong is 10 acres. By the way, an acre is the measure of an area and so you should not talk of square acres!
If your property is a regular rectangle, it will be 220 yards by 110 yards if it is 5 acres. If the dimensions are correct, the perimeter will be 2x220 + 2x 110 = 660 yards or 1980 feet.
So, if you want a mile, you need to do 5280 / 1980 = 2.667 laps 2 and 2/3rds. If you do 13 laps you will be a wee bit short of 5 miles.
If your property has different dimensions, the perimeter may change but you can work out based on the above calculations. Or I will be glad to help you out.
2007-06-17 04:00:33 · answer #2 · answered by Swamy 7 · 0⤊ 1⤋
It really actually depends on the shape of the property that you are running around. A square piece of property and a rectangular piece of property could hold different amounts of area within them, while having equal perimeters.
If the property is a square shape, then you would take 43,560 square ft times the five square acres that you are going to run around to get the total area inside the square piece of property that you are planning to run around. If you take the square root of that answer, it will give you the length of each side of the square. If you take this answer and multiply it by the four sides of the property, you should get the perimeter.
This method yields 1866.76 ft, which is about .3536 miles. This means that you would have to run around the property 2.83 times to run a mile. If you ran around the property 3 times, you would be running an extra 320.29 ft.
2007-06-17 04:13:01 · answer #3 · answered by Ice 2 · 0⤊ 0⤋
The problem does not have an answer unless you specify the shape of the property. The best answer I can give you is that if you assume the property is circular and calculate the circumference from that, that number will be the minimum distance. Any other shape will have a longer perimeter.
2007-06-22 13:30:06 · answer #4 · answered by starman2718 3 · 0⤊ 0⤋
43,560 sq ft means each side is 208 ft so you would have to jog 5280/208 = 25.3 times to reach a mile.
2007-06-25 00:49:53 · answer #5 · answered by ry0534 6 · 0⤊ 0⤋
566 Metres
2007-06-22 23:23:31 · answer #6 · answered by Joymash 6 · 0⤊ 0⤋
i got .79 miles
2007-06-24 13:09:28 · answer #7 · answered by JAMES M 2 · 0⤊ 0⤋
a quadrilateral which has line symmetry need not be a?
2007-06-25 02:25:54 · answer #8 · answered by Tasheba F 1 · 0⤊ 0⤋