Area of Paths
Example 1. In a rectangular garden which measures 20 m
by 15 m a path of 2 m broad runs inside. Find the area of the
rectangular path
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Explanation:
- The distance around a plane figure is called its perimeter.
- The amount of surface enclosed within the boundary of a figure is called its area.
- Basic units for measuring perimeter of a geometrical figure are metre and centimetre.
- Basic units for measuring area of a geometrical figure are square metre and square centimetre.
- Here, the question is about rectangle.
- Let the length and breadth of the rectangle be "L" and "B" respectively.
- Perimeter of a rectangle = 2 (L + B)
- Area of a rectangle = L × B
- Area, however, is always measured in square units.
______________________________
▶ RECTANGULAR FIELD ◀
Length = 20 m
Breadth = 16 m
Area = (20×16) m² = 320 m²
▶INNER LAWN ◀
Length = {20-(1.5+1.5)} m = 17 m
Breadth = {16-(1.5+1.5)} m = 13 m
Area = (17×13) m² = 221 m^2
THE AREA OF THE INNER LAWN IS 221 SQUARE METRE.
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