An engineer who plans to build a compound wall on all sides of a house must find the area of the compound.
Why the statement is false
To build a boundary (compound) wall around a house, the engineer needs the total length around the house. This is called the perimeter, not the area.
Step 1: Understand the two words
Step 2: Why perimeter is needed for a wall
A wall is built along the boundary. So we need how long that boundary is. That is the perimeter.
Step 3: Quick example (rectangular plot)
Suppose the house plot is a rectangle with length (L = 30, ext{m}) and breadth (B = 20, ext{m}).
Perimeter formula:
[ ext{Perimeter} = 2(L + B) ]
Substitute values:
[ ext{Perimeter} = 2(30 + 20) = 2 imes 50 = 100, ext{m} ]
Area formula (not needed for the wall, just to see the difference):
[ ext{Area} = L imes B = 30 imes 20 = 600, ext{m}^2 ]
Conclusion
For boundary wall construction, we use perimeter, not area. Therefore, the statement is false.