Calculate Rectangle Area: 6 cm × 4 cm Rectangle ABCD

Rectangle Area with Given Side Measurements

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Apply the formula for the area of a rectangle
00:07 Substitute the relevant data into the formula
00:10 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

2

Step-by-step solution

Remember that the formula for the area of a rectangle is width times height

 

We are given that the width of the rectangle is 6

and that the length of the rectangle is 4

 Therefore we calculate:

6*4=24

3

Final Answer

24 cm²

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of rectangle equals length times width
  • Calculation: Multiply 6 cm × 4 cm = 24 cm²
  • Check: Units are squared (cm²) and answer uses both given measurements ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of multiplying the sides
    Don't add 6 + 4 = 10 cm²! Adding gives the perimeter formula, not area. Area measures the space inside the rectangle, which requires multiplying length × width. Always multiply the two perpendicular sides for area.

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

FAQ

Everything you need to know about this question

Why do we multiply instead of add the sides?

+

Area measures how much space is inside the rectangle. Think of it as covering the rectangle with unit squares - you need 6 rows of 4 squares each, which equals 6 × 4 = 24 squares!

Does it matter which side I call length vs width?

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Not at all! Since multiplication is commutative, 6 × 4 = 4 × 6 = 24. The rectangle has the same area regardless of which dimension you multiply first.

Why is the answer in cm² instead of just cm?

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Area is always measured in square units because we're measuring a 2-dimensional space. When you multiply cm × cm, you get cm² (square centimeters).

How can I remember the area formula?

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Think "Area = A × A" where the two A's stand for the two perpendicular sides. Or imagine filling the rectangle with unit squares - you multiply how many fit along each direction!

What if the rectangle was rotated differently?

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The orientation doesn't matter for area! Whether the rectangle is horizontal, vertical, or tilted, as long as AB = 6 cm and BC = 4 cm, the area is still 24 cm².

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