Area and Perimeter of Plane Figures
ICSE · Class 9 · Mathematics
Flashcards for Area and Perimeter of Plane Figures — ICSE Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
Interactive on Super Tutor
Studying Area and Perimeter of Plane Figures? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
1,000+ Class 9 students started this chapter today
This is just one of 18+ visuals inside Super Tutor's Area and Perimeter of Plane Figures chapter
Explore the full setFind the perimeter of a triangle with sides 8 cm, 10 cm, and 12 cm.
Answer
Step 1: Add all side lengths. Perimeter = 8 + 10 + 12 Step 2: Calculate. Perimeter = 30 cm Answer: 30 cm…
Find the area of a triangle with base 10 cm and height 6 cm.
Answer
Use Area = 1/2 × base × corresponding height. Step 1: Substitute values. Area = 1/2 × 10 × 6 Step 2: Multiply. Area = 30 cm² Answer: 30 cm²…
Why can any side of a triangle be taken as the base?
Answer
Any side can be chosen as the base because the area formula depends on a matching height drawn perpendicular to that side. Example: If AC is the base, BE is the corresponding height. If AB is the base…
Find the area of a triangle with sides 17 cm, 8 cm, and 15 cm using Heron's formula.
Answer
Step 1: Find semi-perimeter. s = (17 + 8 + 15)/2 = 20 cm Step 2: Apply Heron's formula. Area = √[s(s-a)(s-b)(s-c)] Area = √[20(20-17)(20-8)(20-15)] Step 3: Simplify. Area = √[20 × 3 × 12 × 5] = √3600 …
Formula for Heron's formula and semi-perimeter.
Answer
Heron's formula: Area = √[s(s-a)(s-b)(s-c)] where s = (a + b + c)/2 a, b, c are the sides of the triangle. Quick example: For sides 5 cm, 5 cm, 6 cm, s = 8 cm and Area = √[8(3)(3)(2)] = 12 cm².
The sides of a right-angled triangle containing the right angle are 5 cm and 12 cm. Find its area.
Answer
Use Area = 1/2 × AB × BC. Step 1: Substitute the two perpendicular sides. Area = 1/2 × 5 × 12 Step 2: Multiply. Area = 30 cm² Answer: 30 cm²…
Solve: The sides containing the right angle of a triangle are 5x cm and (3x - 1) cm. If the area is 60 cm², find the sides.
Answer
Step 1: Use the area formula. 60 = 1/2 × 5x × (3x - 1) Step 2: Multiply both sides by 2. 120 = 15x² - 5x Step 3: Rearrange. 3x² - x - 24 = 0 Step 4: Solve the quadratic. x = 3 or x = -8/3 Step 5: Reje…
Find the perimeter and area of an equilateral triangle with side 14 cm.
Answer
Step 1: Use the perimeter formula. Perimeter = 3a = 3 × 14 = 42 cm Step 2: Use the area formula. Area = (√3/4)a² Area = (√3/4) × 14² Area = (√3/4) × 196 Area = 49√3 cm² Approximate area ≈ 84.87 cm² An…
+23 more flashcards available
Practice AllFrequently Asked Questions
What are the important topics in Area and Perimeter of Plane Figures for ICSE Class 9 Mathematics?
How to score full marks in Area and Perimeter of Plane Figures — ICSE Class 9 Mathematics?
How many flashcards are available for Area and Perimeter of Plane Figures?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Area and Perimeter of Plane Figures
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Area and Perimeter of Plane Figures chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 9 Mathematics.