Calculate Rectangle Area: Finding the Space of a 10 cm × 2.5 cm Rectangle ABCD

Rectangle Area with Decimal Dimensions

Look at rectangle ABCD below.

Side AB is 10 cm long and side BC is 2.5 cm long.

What is the area of the rectangle?
1010102.52.52.5AAABBBCCCDDD

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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 rectangle ABCD below.

Side AB is 10 cm long and side BC is 2.5 cm long.

What is the area of the rectangle?
1010102.52.52.5AAABBBCCCDDD

2

Step-by-step solution

Let's begin by multiplying side AB by side BC

If we insert the known data into the above equation we should obtain the following:

10×2.5=25 10\times2.5=25

Thus the area of rectangle ABCD equals 25.

3

Final Answer

25 cm²

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area = length × width for all rectangles
  • Calculation: Multiply 10 × 2.5 = 25 square centimeters
  • Check: Units must be squared (cm²) for area measurements ✓

Common Mistakes

Avoid these frequent errors
  • Adding dimensions instead of multiplying
    Don't add 10 + 2.5 = 12.5 cm²! Adding gives the perimeter's half, not the area. The rectangle covers much more space than that. Always multiply length × width to find how many square units fit inside.

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?
222777AAABBBCCCDDD

FAQ

Everything you need to know about this question

Why do I multiply 10 × 2.5 instead of adding them?

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Area measures space inside the rectangle! When you multiply length × width, you're finding how many unit squares fit inside. Adding gives you part of the perimeter, which just measures the border.

What does cm² mean and why is it important?

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The cm² means 'square centimeters' - it shows you're measuring area, not length. Always include squared units for area problems, or your answer is incomplete!

Is it okay to multiply 2.5 × 10 instead of 10 × 2.5?

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Yes! Multiplication works both ways, so 2.5 × 10 = 10 × 2.5 = 25. The order doesn't matter - you'll get the same area either way.

How do I multiply with decimals like 2.5?

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Think of 2.5 as 'two and a half'. So 10 × 2.5 = 10 × 2 + 10 × 0.5 = 20 + 5 = 25. Or just multiply normally and count decimal places!

What if I got 12.5 as my answer?

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You probably added instead of multiplied! Check: 10 + 2.5 = 12.5, but that's not area. Remember: area always uses multiplication, not addition.

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