Grade 6Mathematics

Length

Metres, decimetres, centimetres, millimetres; perimeter of regular shapes (2.1, 14 lessons).

📖 6 min read · 4 worked examples · 3 practice questions

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The lesson

Take a look at our title here: 'Introduction to Length and Units.' By the end of this lesson, you'll understand what length is and know the common metric units we use in Kenya. What exactly is length? As we can see, length tells us how long, wide, or tall something is. For example, the height of your desk, the width of your classroom, or even the size of a shamba – all of these are measurements of length. To measure length, we use standard units. In Kenya, the common metric units are the metre, decimetre, centimetre, and millimetre. A desk is about 1.2 metres long, a classroom might be 8 metres long, and a shamba can be 50 metres wide. Can you imagine that? Pay attention to the order – from largest to smallest: metre, decimetre, centimetre, millimetre. Decimetre is one-tenth of a metre, centimetre is one-hundredth, and millimetre is one-thousandth. A millimetre is really tiny – about the thickness of a coin. Let's also talk about the examples. We have a desk (1.2 m), a classroom (8 m), and a shamba (50 m). These numbers give you a sense of how big each unit is. I'd like you to imagine: how long is your desk at home? Could you measure it later?

Let's dive into converting between different metric length units. You already know metres from measuring your height or the distance to school. Did you know there are smaller units like decimetres, centimetres, and millimetres? Watch how they relate. Here's a handy table. At the first row: 1 metre equals 10 decimetres, 100 centimetres, and 1000 millimetres. A metre — about how tall your desk is — is made up of 100 centimetres. That's like breaking a 1-metre stick into 100 equal parts. Each part is one centimetre — the width of your thumbnail. Notice the second row: 1 decimetre = 10 centimetres = 100 millimetres. A decimetre is about the length of a large mobile phone. The last row: 1 centimetre = 10 millimetres. A millimetre is tiny — think of the thickness of a coin. Here's the rule that makes conversion easy. When you go from a larger unit to a smaller unit — like metres to centimetres — you multiply. Why? Because centimetres are smaller, so you need more of them. For example: 2 metres = 2 × 100 = 200 centimetres. When going from a smaller unit to a larger unit — like centimetres to metres — you divide. 250 centimetres divided by 100 gives 2.5 metres. Simple, right? A Kenyan example: The length of a matatu is about 8 metres. How many centimetres is that? 8 multiplied by 100 — 800 centimetres! The width of a pencil is about 7 millimetres. That's 0.7 centimetres. See how the rule works?

Perimeter is the total distance around a shape. First, a square. All four sides are equal, so the perimeter is 4 times the side length. Simple! Next, a rectangle. Opposite sides are equal, so we add length and width and multiply by 2. That's 2 times (l plus w). A triangle. Just add up all three sides: a plus b plus c. Finally, a regular hexagon has six equal sides, so the perimeter is 6 times the side length. Those are the main perimeter formulas to remember.

As we wrap up today's lesson on metric conversions and perimeter, here are your next steps to keep building on what we've learned. First, keep practising conversions using the table we made together. Then, I want you to measure objects around your home — like a book, a table, or even your desk — and calculate their perimeters. Finally, get ready for our next lesson on area, where we'll learn how to measure the space inside shapes. Keep experimenting, keep measuring, and I'll see you next time. Great work, everyone!

Great work, everyone! Let's quickly bring together everything we've covered today about measurement conversions and perimeter formulas. First, the conversion ladder: moving from metres to decimetres to centimetres to millimetres means multiplying by 10 at each step. For example, 3 metres equals 30 decimetres, 300 centimetres, and 3000 millimetres. Keep this pattern in mind. Next, the perimeter formulas. For a square, multiply the side length by 4. For a rectangle, add the length and width, then double it. Triangles are the sum of all three sides. For a regular hexagon, just multiply one side by 6. These formulas help us find the total distance around any shape. Finally, think about real-world uses. Farmers in Kenya need perimeter to know how much fencing to buy for their shamba. Construction workers use perimeter for room borders, and furniture makers measure edges for trim. These are skills you'll use outside the classroom. That's all for today's lesson. You've learned how to convert units, calculate perimeters, and apply them to real life. I'm proud of your effort. Keep practising, and you'll master these skills in no time. See you next class!

Worked examples

Unit Conversion

Class, let's go through some worked examples of unit conversion. These will show you exactly how to convert between different units step by step. Our first example: convert 2.5 metres to centimetres. Remember, 1 metre equals 100 centimetres, so we multiply 2.5 by 100. That gives us 250 centimetres. The opposite direction: convert 150 centimetres to metres. Since we're going from a smaller unit to a larger one, we divide by 100. 150 divided by 100 is 1.5 metres. Next example: convert 8 centimetres to millimetres. 1 centimetre equals 10 millimetres, so we multiply 8 by 10 to get 80 millimetres. Notice the pattern. When converting from a larger unit to a smaller one — like metres to centimetres — we multiply. From a smaller unit to a larger one — like centimetres to metres — we divide. We always use powers of 10: 10, 100, and so on. Practice these steps, and unit conversion will become second nature.

Perimeter of a Shamba

Worked Example 2: Perimeter of a Shamba. A shamba is a farm plot, and this one is rectangular. Here is the shamba. It has a length of 30 metres and a width of 20 metres. To find the perimeter, we add the length and width first: 30 + 20 = 50. Then multiply by 2: 50 × 2 = 100 metres. The perimeter is 100 metres. Farmers need to know the perimeter to calculate fencing material. If you had a shamba, you'd know exactly how much fence to buy! Great job, everyone.

Perimeter of a Desk

We have a square desk and a hexagonal table. Let's calculate their perimeters. For the square desk, each side is 1.2 metres. Since a square has 4 equal sides, we multiply side length by 4. Perimeter equals 4 times 1.2, which gives us 4.8 metres. Next, the hexagonal table. A regular hexagon has 6 equal sides, each 0.5 metres. Perimeter equals 6 times 0.5, giving us 3.0 metres. Notice that both sides are given in metres, so our answers are in metres. Always check that units are consistent.

Real-Life Application: Floor Tiles

How perimeter and unit conversion apply to a real-world situation—tiling a classroom floor. This rectangle represents our classroom floor. It's 8 metres long and 6 metres wide. To buy the right amount of tile trim, we need the perimeter. Let's calculate it. Perimeter = 2 × (length + width) = 2 × (8 + 6) = 28 metres. Easy, right? Tiles are often sold by the centimetre. We convert: 28 metres = 2800 centimetres. Multiply by 100. Understanding units helps avoid costly mistakes. Imagine ordering 28 tiles instead of 2800! That would be a disaster.

Practice questions

  • Converting 3.
  • The perimeter of a rectangle. Perimeter is the distance around, so you add all four sides: 5 + 3 + 5 + 3 = 16 metres.
  • Millimetres in 2.

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