Method for Partitioning Land (Cutting 0.60 acres from 1 acre plot ABCDEFG)
Step 1: Initial Partition Line Connect two points such as G and D to create an approximate partition line. Calculate the area of polygon DEFG. In this example, DEFG measures 0.50 acres, meaning an additional 0.10 acres must be cut off to reach the target of 0.60 acres total.
Step 2: Unit Conversion Convert the required additional area (0.10 acres) to square chains by multiplying by 10. This yields 1 square chain, which will be used for subsequent calculations.
Step 3: Calculate Perpendicular Distance Measure the base line GD, which in this case is 203 links or 2.03 chains. To find the required perpendicular height for a triangle with area 1 square chain and base 2.03 chains, divide 1 by half the base length (1.015 chains). The result is 0.985 chains (98.5 links), representing the perpendicular distance from line GD needed to create the additional triangular area.
Step 4: Complete the Partition Draw lines GH and DH to form the triangle, where H is located at the calculated perpendicular distance from GD. The polygon DEFGH now represents the required 0.60-acre parcel. Note: if DEFG initially exceeds the required area, construct the triangle on the opposite side of line GD instead.
Step 5: Alternative Rectangular Method For rectangular partitions, simply apply the area formula A = L × B (length × breadth) to determine the necessary dimensions.
