1. ## Area Problem

Hey I DESPERATELY need some help figuring out this area problem. I need to know the area of a piece of land that measures 25.59m, 12.01m, 47.17m and 32.19m (83'11", 39'05", 154'9", 105' 7"). I would love some help! Thanks xo

2. Originally Posted by colly_flowa@hotmail.com
Hey I DESPERATELY need some help figuring out this area problem. I need to know the area of a piece of land that measures 25.59m, 12.01m, 47.17m and 32.19m. I would love some help! Thanks xo
A diagram would help.

3. I know! I don't have one that is the main problem.

4. Originally Posted by colly_flowa@hotmail.com
I know! I don't have one that is the main problem.
Then the problem is not solvable.

There's an infinite number of four sided figures, all with different area, that have the side lengths you give.

5. Oh how disheartening! Thanks anyway!

6. Originally Posted by colly_flowa@hotmail.com
Oh how disheartening! Thanks anyway!
That could be a piece of land where the four sides are known only.

If there is a land title or a land description showing the four boundaries of the lot in lenths and bearings, then any land surveyor could get the exact area of the land.

If you, howver just want to get it yourself, or if there is no land title or what, then here is one method you can do.

Establish any random point inside the lot. The point could be closer to the center of the lot if possible. You should be able to meaure the distances from that point to the four corners of the lot.

When your done measuring, you have subdivided the lot into four triangles whose sides are all known.
Get the areas of tose four triangles and you get the area of the whole lot.

Area of any triangle whose three sides (a,b,c) are known is given by the Heron's formula
area A = sqrt[s*(s-a)*(s-b)*(s-c)] ------**
where s = (1/2)(a +b +c)

7. Thankyou so much! I will try that.