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Top surface of a raised platform is in the shape of regular octagon as shown in the figure. Find the area of the octagonal surface.
  • a)
    11.9 cm3
  • b)
    119 cm
  • c)
    119 m2
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Top surface of a raised platform is in the shape of regular octagon as...
Visually, the area of the octagonal surface will be the sum of the area of two trapezia and the area of rectangular region.
Area of octagon ABCDEFGH = Area of Trapezium ABCH + Area of rectangle HCDG + Area of trapezium EFGD
Side of the regular octagon = 5 cm
Area of trapezium ABCH = Area of trapezium EFGD
Area of trapezium ABCH = 1/2 × (AB + CH) × AI
= 1/2 × (5 m + 11 m) × 4 m
= 1/2 × 16 m × 4 m
= 32 m2
Area of trapezium ABCH = Area of trapezium EFGD = 32 m2
Area of rectangle HCDG = HC × CD = 11 m × 5 m = 55 m2
Area of ABCDEFGH = Area of trapezium ABCH + Area of rectangle HCDG + Area of trapezium EFGD
= 32 m2+ 55 m2+ 32 m2
= 119 m2
Thus the area of the octagonal surface is 119 m2
 
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Top surface of a raised platform is in the shape of regular octagon as shown in the figure. Find the area of the octagonal surface.a)11.9 cm3b)119 cmc)119 m2d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Top surface of a raised platform is in the shape of regular octagon as shown in the figure. Find the area of the octagonal surface.a)11.9 cm3b)119 cmc)119 m2d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Top surface of a raised platform is in the shape of regular octagon as shown in the figure. Find the area of the octagonal surface.a)11.9 cm3b)119 cmc)119 m2d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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