Calculate Rectangle Area: 4.5 cm × 2 cm Geometric Problem

Rectangle Area with Decimal Dimensions

Look at the rectangle ABCD below.

Side AB is 4.5 cm long and side BC is 2 cm long.

What is the area of the rectangle?
4.54.54.5222AAABBBCCCDDD

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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 4.5 cm long and side BC is 2 cm long.

What is the area of the rectangle?
4.54.54.5222AAABBBCCCDDD

2

Step-by-step solution

We begin by multiplying side AB by side BC

We then substitute the given data and we obtain the following:

4.5×2=9 4.5\times2=9

Hence the area of rectangle ABCD equals 9

3

Final Answer

9 cm²

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of rectangle = length × width
  • Calculation: Multiply 4.5 cm × 2 cm = 9 cm²
  • Check: Units should be square units (cm²) and answer makes sense ✓

Common Mistakes

Avoid these frequent errors
  • Adding the sides instead of multiplying
    Don't add 4.5 + 2 = 6.5 cm! This gives perimeter, not area, and has wrong units. Always multiply length × width for rectangle 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 the sides instead of adding them?

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Adding gives you the perimeter (distance around), but area measures the space inside. Think of tiling: you need 4.5 × 2 = 9 square tiles to fill this rectangle!

What if I get confused about which sides to multiply?

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For rectangles, it doesn't matter! Length × width gives the same result as width × length. Just pick any two adjacent sides (sides that meet at a corner).

Why is my answer in cm² instead of just cm?

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Area is always measured in square units! When you multiply cm × cm, you get cm². This tells us we're measuring a 2-dimensional space, not just a length.

How do I multiply 4.5 × 2 without a calculator?

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Think of 4.5 as 4½. So 4½ × 2 = (4 × 2) + (½ × 2) = 8 + 1 = 9. Or use 4.5×2=4510×2=9010=9 4.5 \times 2 = \frac{45}{10} \times 2 = \frac{90}{10} = 9

What if the rectangle had different dimensions?

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The method stays the same! Always use Area = length × width. Whether the sides are 3 cm and 7 cm, or 2.8 cm and 5.1 cm, just multiply them together.

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