Draw the picture and find the area of the parcel of land. Circle your to partial areas and your total area. You start herman a corn and walk 300 yards due north. Then, you turn N 63 degrees E and walk 260 yards. Then, you turn S 55 degrees E and walk 240 yards. Then, you walk back to the little acorns.
If you label the 4 points A,B,C,D then it is easy to find the lengths of the 4 sides. Now, the length of AC is 551.
Now you have two triangles, and you know all the sides, so you can use Heron's formula to get the areas.
To find the area of the parcel of land, we will first need to draw the picture and then calculate the partial areas for the different sections of the path you took. Finally, we can sum up the partial areas to find the total area.
1. Start by drawing a point to represent the "little acorns" as your reference point.
2. From the starting point, move 300 yards due north. Mark this point.
3. Next, turn N 63 degrees E and walk 260 yards from the previous point. Mark this new point.
4. From this second point, turn S 55 degrees E and walk 240 yards. Mark this third point.
5. Finally, return back to the "little acorns" point.
Now that we have the diagram, we can divide the parcel into two partial areas:
Partial Area 1: This is a triangle formed by the initial position, the first point, and the little acorns point. To calculate the area of a triangle, we need the base and the height. The base would be the distance between the initial point and the first point, which is the side you walked due north (300 yards). The height can be calculated by multiplying the distance you walked after turning N 63 degrees E (260 yards) by the sine of the angle between the direction you walked and the base (63 degrees). Using the formula for the area of a triangle (Area = 0.5 * base * height), we can find the partial area.
Partial Area 2: This is another triangle formed by the first point, the second point, and the little acorns point. The base would be the distance between the first and second points (240 yards). The height is the distance you walked after turning S 55 degrees E (260 yards) multiplied by the sine of the angle between the direction you walked and the base (55 degrees). Again, we can use the formula for the area of a triangle to calculate this partial area.
Once we have these two partial areas, we can add them together to find the total area of the parcel of land.
Note: Since you didn't provide any specific unit of measurement, I have assumed that all distances are in yards.