Calculate Rectangle Area: 15 cm × 3 cm Dimensions

Rectangle Area with Given Dimensions

The width of a rectangle is equal to 15 cm and its length is 3 cm.

Calculate the area of the rectangle.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's find the area of this rectangle.
00:11 To do this, we use the formula: length times width. So get ready to apply it.
00:18 Now, substitute the given numbers for length and width, and calculate the area.
00:23 Great job! That's how we find the area of a rectangle.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The width of a rectangle is equal to 15 cm and its length is 3 cm.

Calculate the area of the rectangle.

2

Step-by-step solution

To calculate the area of the rectangle, we multiply the length by the width:

15×3=45 15\times3=45

3

Final Answer

45

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area = length × width for all rectangles
  • Technique: Multiply 15 cm × 3 cm = 45 cm²
  • Check: Units should be square units (cm²) and result should be positive ✓

Common Mistakes

Avoid these frequent errors
  • Adding dimensions instead of multiplying
    Don't add 15 + 3 = 18! This gives perimeter calculation, not area. Area measures the space inside the rectangle, which requires multiplication. Always multiply length × width for area.

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle below.

Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.

What is the perimeter of the rectangle?

1.51.51.5AAABBBCCCDDD9.5

FAQ

Everything you need to know about this question

Why do we multiply length and width instead of adding them?

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Area measures the space inside a shape. When you multiply 15 × 3, you're finding how many square centimeters fit inside. Adding gives you perimeter - the distance around the outside.

Does it matter which dimension I call length or width?

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No! For rectangles, length × width = width × length. Whether you do 15 × 3 or 3 × 15, you'll get the same area of 45 cm².

Why are the units cm² instead of just cm?

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Area is measured in square units because we're multiplying two lengths together. cm × cm = cm². This tells us we're measuring a 2-dimensional space, not just a distance.

How can I visualize this calculation?

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Imagine the rectangle divided into unit squares. You have 15 rows with 3 squares in each row, giving you 15 × 3 = 45 total unit squares!

What if I get the dimensions mixed up?

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Don't worry! Since multiplication is commutative, 15 × 3 = 3 × 15. The area will be correct regardless of which dimension you multiply first.

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