The figure shows a rectangle 20 cm long and 14 cm wide, with a semicircle of diameter 14 cm attached to one of its shorter sides. Find the perimeter of the figure. (Take π = 22/7.)
Show Worked Solution
Worked Solution
Step 1: Identify the boundary — two long sides (20 cm each), one short side (14 cm), and one semicircular arc. The diameter is INSIDE the figure now, so it is not part of the perimeter.
Step 2: Add the three straight sides: 20 + 20 + 14 = 54 cm.
Step 3: Semicircle arc length = (1/2) × π × diameter = (1/2) × (22/7) × 14 = 22 cm.
Step 4: Total perimeter = 54 + 22 = 76 cm.
Answer: 76 cm
Correct answer: 76 cm
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