What is the difference between perimeter and area?

Perimeter is the total length of the boundary of a shape, measured in cm, m, etc. Area is the amount of surface enclosed by the shape, measured in square units (sq cm, sq m, etc.). Perimeter is one-dimensional; area is two-dimensional.

What is the formula for area of a triangle?

Area of a triangle = 1/2 x base x height. The base can be any side, and the height is the perpendicular distance from that base to the opposite vertex. For example, if base = 10 cm and height = 6 cm, area = 1/2 x 10 x 6 = 30 sq cm.

How do you find the area of an irregular shape?

Place the shape on a grid (squared paper). Count the number of full squares inside the shape. For partial squares: count more-than-half as 1, exactly half as 0.5, and less-than-half as 0. Add them up for the approximate area.

Worksheets

Mensuration Class 6 CBSE Worksheet Free PDF Download with Answers

Calculate perimeter and area of rectangles, squares, triangles and irregular shapes. 60 questions from basic formulas to real-life word problems.

CBSEClass 6

SparkEd Team · Reviewed by Vivek Verma4 April 20267 min read

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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!

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Class 6 Maths Worksheet — Free PDF with Answers

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Want to practise Mensuration digitally? Try free online practice on SparkEd — instant grading, visual solutions, and an AI coach to help when you are stuck.

Perimeter and Area in Real Life

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. Imagine you want to put a fence around your garden. You need the perimeter. Now imagine you want to tile the floor of your room. You need the area. These two measurements come up everywhere: painting a wall, buying carpet, wrapping a gift, framing a photograph.

Mensuration in Class 6 introduces the formulas for perimeter and area of basic shapes. The formulas are simple, but applying them to word problems takes practice. This Mensuration Class 6 worksheet gives you exactly that practice with 60 questions at three difficulty levels.

Beyond this worksheet, SparkEd offers interactive online practice for Mensuration with step-by-step solutions and progress tracking — perfect for daily revision.

What Does This Worksheet Cover?

Aligned with NCERT Class 6 Mensuration chapter:

- Perimeter — meaning and calculation for rectangles, squares, equilateral triangles, regular polygons
- Area of a rectangle — $l \times b$
- Area of a square — $s \times s$
- Area of a triangle — $\frac{1}{2} \times b \times h$
- Area of irregular shapes on grid paper (counting squares)
- Conversion of units — cm to m, m to km, sq cm to sq m
- Word problems — fencing, flooring, painting

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Direct formula application, simple calculations | 20 |
| Level 2 | Unit conversion, two-step problems, irregular shapes | 20 |
| Level 3 | Multi-step word problems, combined perimeter-area, reasoning | 20 |

Sample Questions

Level 1 — Warm Up

Find the perimeter of a rectangle with length 12 cm and breadth 7 cm.
Find the area of a square with side 9 cm.
A triangle has a base of 10 cm and a height of 6 cm. Find its area.

Level 2 — Build Confidence

A rectangular park is 150 m long and 80 m wide. Find the cost of fencing it at Rs 25 per metre.
Find the area of a shape made by joining a $4 \times 3$ rectangle and a $4 \times 4$ square side by side.
Convert: 2.5 sq m = ___ sq cm.

Level 3 — Push Yourself

A rectangular garden is 40 m by 30 m. A path 2 m wide runs along the inside of all four sides. Find the area of the path.
The perimeter of a rectangle is 56 cm. If its length is 18 cm, find the area.
A wire is bent into a square of side 12 cm. If the same wire is bent into a rectangle with length 15 cm, what will be the breadth?

Tips for Mensuration Problems

1. Draw the shape. Always sketch the figure and label the given measurements. This makes it much harder to use the wrong formula. 2. Check your units. If the question gives length in metres and breadth in centimetres, convert to the same unit first. Many students lose marks here. 3. Perimeter is "around", area is "inside". Perimeter measures the boundary (one-dimensional, in cm or m). Area measures the surface (two-dimensional, in sq cm or sq m). Never mix them up. 4. For irregular shapes, count full and half squares. On a grid, count full squares normally. Half squares count as 0.5. More-than-half squares count as 1, less-than-half as 0. 5. Wire-bending questions use equal perimeters. If a wire is reshaped, the perimeter stays the same. Set up the equation and solve.

Download Your Free Worksheet

Get the complete Mensuration worksheet with 60 questions and detailed answers.

Download here: Mensuration Class 6 Worksheet

Practice online: Mensuration — Online Practice

Related Worksheets

Build on your geometry and measurement skills:

- Practical Geometry Class 6 Worksheet — constructing the shapes you measure
- Symmetry Class 6 Worksheet — lines of symmetry in geometric figures
- Decimals Class 6 Worksheet — decimal measurements in perimeter and area

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