To verify whether your brother's claim is valid or not, we need to calculate the total length of the fencing required for the given plot.
Given lengths:
- Plot length 1: 159 m
- Plot length 2: 135 m
- Plot length 3: 396 m
The total length of fencing required is the sum of the lengths of all three sides:
Total fencing required = Plot length 1 + Plot length 2 + Plot length 3
Total fencing required = 159 m + 135 m + 396 m
Total fencing required = 690 m
Your brother claims that 1,000 m of wiring fence is needed. Comparing this to the calculated required length of 690 m:
- Required fencing: 690 m
- Brother's claim: 1,000 m
Since the required length is less than your brother's claim, it seems that your brother's claim is valid. The plot can be fenced using 1,000 m of wiring fence with some length left over.