How many acres are in a piece of land 110.38' at top 575' one side 508' other side 125 at bottom?

Answer 1

Okay, you can find the area by using the modification of Heron's formula used to find the area of convex quadrilaterals:

area = square root [ (s-a)(s-b)(s-c)(s-d) ]
where s = half the perimeter

so for this piece of land:

a=110.38
b=575
c=125
d=508

and s = ( 110.38+575+125+508 ) / 2 = 1,318.38 / 2 = 659.19

now:

s-a = 659.19-110.38 = 548.81
s-b = 659.19-575 = 84.19
s-c = 659.19-125 = 534.19
s-d = 659.19-508 = 151.19

so:

area = square root (548.81 x 84.19 x 534.19 x 151.19)
= square root (3,731,653,806.4424)
= 61,087.264 square feet

Now 1 acre = 43,560 square feet (66 x 660)
so your parcel of land is 61,087.264/43,560 = 1.4024 acres

With these measurements, the angles are fixed and can't change, so this is the only possible answer.

And shame on the "real estate agent" whose answer was so badly wrong.


Trivia: an acre of land measures 1 chain by 1 furlong in the old Imperial system of measure.

12 lines = 1 inch
12 inches = 1 foot
3 feet = one yard
5.5 yards = 1 rod
4 rods = 1 chain
10 chains = 1 furlong
8 furlongs = 1 mile

Answer 2

the exact answer varies depending on the angles at the corners.
but it is most likely 1.35 acres.

I am an Engineer.

Answer 3

the information is not engough.

If you provide the angles or any one of the diagonal then it would be calculated ACCURATELY.

Since measuring angles is difficult try measuring one of the side.

Answer 4

About 1.3