A running track is made up of a rectangle with two semicircles, one at each shorter end. The length of the rectangle is 14 cm and its width is 7 cm. Find the total perimeter of the track. (Use π = 22/7)
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Worked Solution
Step 1: Identify the perimeter components.
The perimeter = 2 long straight sides + 2 semicircular arcs (one at each shorter end).
Step 2: Calculate the 2 straight sides.
2 × 14 = 28 cm
Step 3: The two semicircles form one full circle.
Diameter = width = 7 cm
Circumference = π × d = (22/7) × 7 = 22 cm
Step 4: Total perimeter = 28 + 22 = 50 cm
Correct answer: 50 cm
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