Calculate Rectangle Area: Finding Space in 10cm × 5cm ABCD Rectangle

Q: Why do we multiply the sides instead of adding them?

Area measures space inside the rectangle! When you multiply length × width, you're counting how many unit squares fit inside. Adding gives you perimeter - the distance around the edges.

Q: Does it matter which side I call length or width?

Not at all! Multiplication is commutative, so 10 × 5 = 5 × 10 = 50. You can call either side the length or width - the area stays the same.

Q: How do I remember the area formula?

Think about filling the rectangle with unit squares. If you have 10 squares across and 5 rows down, you need 10 × 5 = 50 total squares!

Q: What if the rectangle has different units?

Always convert to the same unit first! If one side is 10 cm and another is 0.05 m, change 0.05 m to 5 cm, then multiply: 10 × 5 = 50 cm².

Area Formula with Rectangle Dimensions

Look at the rectangle ABCD below.

Given in cm:

AB = 10

BC = 5

Calculate the area of the rectangle.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate the rectangle's area

00:03 Side values according to the given data

00:06 We'll use the formula for calculating rectangle area (side times side)

00:21 We'll substitute appropriate values according to the given data and solve for the area

00:37 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Look at the rectangle ABCD below.

Given in cm:

AB = 10

BC = 5

Calculate the area of the rectangle.

Step-by-step solution

Let's calculate the area of the rectangle by multiplying the length by the width:

$AB\times BC=10\times5=50$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Rectangle area equals length times width
Calculation: Multiply AB × BC = 10 × 5 = 50 cm²
Check: Units should be square units (cm²) for area ✓

Common Mistakes

Avoid these frequent errors

Adding dimensions instead of multiplying
Don't add AB + BC = 10 + 5 = 15! This gives perimeter, not area. Adding gives you the distance around the rectangle, not the space inside. Always multiply length × width for area.

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle below.

Side AB is 2 cm long and side BC has a length of 7 cm.

What is the perimeter of the rectangle?

FAQ

Everything you need to know about this question

Why do we multiply the sides instead of adding them?

Area measures space inside the rectangle! When you multiply length × width, you're counting how many unit squares fit inside. Adding gives you perimeter - the distance around the edges.

What's the difference between cm and cm²?

Use cm for length measurements (like 10 cm for side AB). Use cm² for area because you're measuring space in square units. Think: cm × cm = cm²!

Does it matter which side I call length or width?

Not at all! Multiplication is commutative, so 10 × 5 = 5 × 10 = 50. You can call either side the length or width - the area stays the same.

How do I remember the area formula?

Think about filling the rectangle with unit squares. If you have 10 squares across and 5 rows down, you need 10 × 5 = 50 total squares!

What if the rectangle has different units?

Always convert to the same unit first! If one side is 10 cm and another is 0.05 m, change 0.05 m to 5 cm, then multiply: 10 × 5 = 50 cm².

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