Example 1easy
What is the perimeter of a square with side 9 cm?
- A)18 cm
- B)27 cm
- C)36 cm
- D)81 cm
Step-by-step solution
- The perimeter of a square is the sum of all four equal sides.
- Substitute the value:
Answer: 36 cm
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About Perimeter & Area — Class 7 ICSE
Calculate perimeter and area of triangles, parallelograms, and circles. This topic is part of the ICSE Class 7 mathematics syllabus (chapter: Chapter 11). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.
What you'll learn in Perimeter & Area
- Perimeter Revisited
- Area of Rectangles and Squares
- Area of Triangles
- Area of Parallelograms
- Composite Shapes & Word Problems
Interactive lesson · about 20 minutes · checkpoint question after every unit
Perimeter & Area — solved examples for Class 7 ICSE
Example 2medium
A rectangular field is 45 m long and 30 m wide. What is the cost of fencing it at ₹12 per metre?
- A)₹1800
- B)₹1500
- C)₹900
- D)₹1200
Step-by-step solution
- Find the perimeter:
- Cost of fencing:
Answer: ₹1800
Example 3hard
A rectangular garden 50 m × 40 m has a path 3 m wide running outside it. Find the area of the path.
- A)576 m²
- B)588 m²
- C)564 m²
- D)600 m²
Step-by-step solution
- Outer dimensions: length = 50 + 2(3) = 56 m, breadth = 40 + 2(3) = 46 m
- Outer area:
- Garden area:
- Path area:
Answer: 576 m²
Practice questions on Perimeter & Area
Q1.easy
Find the perimeter of a rectangle with length 12 cm and breadth 7 cm.- A)19 cm
- B)38 cm
- C)84 cm
- D)48 cm
Show answer
Answer: 38 cm
Hint: Perimeter of a rectangle = 2 × (length + breadth).
Q2.easy
What is the area of a rectangle with length 10 cm and breadth 6 cm?- A)16 cm²
- B)32 cm²
- C)60 cm²
- D)100 cm²
Show answer
Answer: 60 cm²
Hint: Area of a rectangle = length × breadth.
Q3.easy
Find the area of a square with side 8 cm.- A)32 cm²
- B)64 cm²
- C)16 cm²
- D)24 cm²
Show answer
Answer: 64 cm²
Hint: Area of a square = side × side.
Q4.medium
The length of a rectangular hall is twice its breadth. If the perimeter is 72 m, find the length and breadth.- A)l = 24 m, b = 12 m
- B)l = 20 m, b = 16 m
- C)l = 30 m, b = 6 m
- D)l = 18 m, b = 18 m
Show answer
Answer: l = 24 m, b = 12 m
Hint: Let breadth = x. Then length = 2x. Use the perimeter formula.
Q5.medium
Find the area of a triangle whose base is 18 cm and height is 14 cm.- A)252 cm²
- B)126 cm²
- C)32 cm²
- D)63 cm²
Show answer
Answer: 126 cm²
Hint: Area of a triangle = ½ × base × height.
Q6.medium
A square room has an area of 144 m². What is its perimeter?- A)36 m
- B)48 m
- C)56 m
- D)24 m
Show answer
Answer: 48 m
Hint: First find the side from the area, then calculate the perimeter.
Q7.hard
A rectangular room is 9 m long and 7 m wide. The floor is to be covered with carpet costing ₹150 per m². Find the total cost.- A)₹9450
- B)₹8400
- C)₹10500
- D)₹7350
Show answer
Answer: ₹9450
Hint: Find the floor area first, then multiply by the cost per m².
Q8.hard
The length of a rectangular field is three times its breadth. If the area is 768 m², find the length and breadth.- A)l = 48 m, b = 16 m
- B)l = 36 m, b = 12 m
- C)l = 24 m, b = 32 m
- D)l = 64 m, b = 12 m
Show answer
Answer: l = 48 m, b = 16 m
Hint: Let breadth = x, length = 3x. Then area = 3x × x = 768.
Q9.hard
A square park of side 60 m has a path 5 m wide running inside along the boundary. Find the area of the path.- A)1100 m²
- B)1200 m²
- C)1000 m²
- D)1050 m²
Show answer
Answer: 1100 m²
Hint: Inner square side = outer side - 2 × path width. Subtract inner area from outer area.
These are 9 of the 60 questions available for Perimeter & Area. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.