Advanced Mathematics Primary 4 Area and Perimeter

A rectangular field measures 60 m by 45 m. A path of uniform width 3 m is laid along all four edges INSIDE the field, leaving a smaller rectangular grass region in the middle. Find the AREA of the path.

A 594 m²
B 432 m²
C 630 m²
D 2 700 m²
Show Worked Solution

Worked Solution

Step 1: Total area of the field = 60 × 45 = 2 700 m². Step 2: Inner grass region: each dimension is reduced by 2 × 3 = 6 m (path on both sides). Inner = (60 − 6) × (45 − 6) = 54 × 39 = 2 106 m². Step 3: Path area = total − inner = 2 700 − 2 106 = 594 m². Answer: 594 m²

Correct answer: 594 m²

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