Area and Perimeter of Plane Figures — Important Questions
ICSE · Class 9 · Mathematics
45 important questions from Area and Perimeter of Plane Figures for ICSE Class 9 Mathematics, with answers. Part of the ICSE Class 9 Mathematics syllabus.
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Important Questions from Area and Perimeter of Plane Figures
Which of the following formulas are correct for a triangle? (Select all correct answers)
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Area = ½ × base × height, Perimeter = sum of all three sides, Area = √[s(s-a)(s-b)(s-c)] (Heron's formula)
For triangles: Area = ½ × base × height is the basic formula. Perimeter is sum of all sides. Heron's formula gives area when all three sides are known. Option B misses the ½ factor, option E is for rectangles.
Find the area of a circle with radius 14 cm. (Take π = 22/7)
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616 cm²
Area of circle = πr² = (22/7) × 14² = (22/7) × 196 = 616 cm². Option A is circumference, option C is r², option D is half the correct answer.
The area of an equilateral triangle with side 'a' is (√3/4)a².
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True
This is the standard formula for area of equilateral triangle. It can be derived using the basic area formula with height = (√3/2)a.
What is the area of a parallelogram with base 15 cm and height 8 cm?
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120 cm²
Area of parallelogram = base × height = 15 × 8 = 120 cm². Option B is perimeter calculation, option C is half the area, option D is average of base and height.
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