Perimeter and Area — Class 6 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Perimeter and Area" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Perimeter and Area" — 8 important questions with detailed answers for CBSE board ex…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.
A square has side 7 cm. Find its area and perimeter.
A rectangular field has length 50 m and breadth 30 m. Find the area of the fi…
If the perimeter of a square is 36 cm, what is the length of its side?
Find the area of a triangle with base 12 cm and height 8 cm.
A rectangle has area 120 cm² and length 15 cm. Find its breadth.
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
Find the perimeter of a rectangle with length 12 cm and b…	✓ Solved
A square has side 7 cm. Find its area and perimeter.	✓ Solved
A rectangular field has length 50 m and breadth 30 m. Fin…	✓ Solved
If the perimeter of a square is 36 cm, what is the length…	✓ Solved
Find the area of a triangle with base 12 cm and height 8 cm.	✓ Solved
A rectangle has area 120 cm² and length 15 cm. Find its b…	✓ Solved

Showing 6 of 8 questions

Q1: Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.

Perimeter of rectangle = 2 × (length + breadth) Step 1: Length = 12 cm, Breadth = 8 cm Step 2: Perimeter = 2 × (12 + 8) Step 3: Perimeter = 2 × 20 Step 4: Perimeter = 40 cm Final Answer: 40 cm

Q2: A square has side 7 cm. Find its area and perimeter.

Area of square = side × side Step 1: Side = 7 cm Step 2: Area = 7 × 7 = 49 cm² Perimeter of square = 4 × side Step 3: Perimeter = 4 × 7 = 28 cm Final Answer: Area = 49 cm², Perimeter = 28 cm

Q3: A rectangular field has length 50 m and breadth 30 m. Find the area of the field.

Area of rectangle = length × breadth Step 1: Length = 50 m, Breadth = 30 m Step 2: Area = 50 × 30 Step 3: Area = 1500 m² Final Answer: 1500 m²

Q4: If the perimeter of a square is 36 cm, what is the length of its side?

Perimeter of square = 4 × side Step 1: Perimeter = 36 cm Step 2: 4 × side = 36 Step 3: side = 36 ÷ 4 Step 4: side = 9 cm Final Answer: 9 cm

Q5: Find the area of a triangle with base 12 cm and height 8 cm.

Area of triangle = (1/2) × base × height Step 1: Base = 12 cm, Height = 8 cm Step 2: Area = (1/2) × 12 × 8 Step 3: Area = (1/2) × 96 Step 4: Area = 48 cm² Final Answer: 48 cm²

Q6: A rectangle has area 120 cm² and length 15 cm. Find its breadth.

Area of rectangle = length × breadth Step 1: Area = 120 cm², Length = 15 cm Step 2: 15 × breadth = 120 Step 3: breadth = 120 ÷ 15 Step 4: breadth = 8 cm Final Answer: 8 cm

Showing 6 of 8 questions. Visit the full page for complete solutions.