Calculate Rectangle Area: Finding Space of 10.5 × 5 Rectangle

Q: How do I multiply a decimal by a whole number?

Multiply normally, then count decimal places in the original numbers. Since 10.5 has 1 decimal place and 5 has none, your answer gets 1 decimal place: 52.5.

Q: What units should I use for area?

Area is always measured in square units. If your rectangle dimensions are in centimeters, the area is in square centimeters (cm²). Don't forget the ² symbol!

Q: Can I add the length and width instead of multiplying?

No! Adding gives you the perimeter (the distance around), not the area (space inside). For area, you must multiply length × width.

Q: Why is the rectangle showing dimensions 10.5 and 5?

The diagram shows the length (10.5) along the top and width (5) along the side. These are the two measurements you need to find the total space inside the rectangle.

Rectangle Area with Decimal Dimensions

Given the following rectangle:

Find the area of the rectangle.

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Understand the problem

Given the following rectangle:

Find the area of the rectangle.

Step-by-step solution

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

$\text{10}.5\times5=52.5$

Final Answer

52.5

Key Points to Remember

Essential concepts to master this topic

Formula: Area of rectangle equals length times width
Calculation: Multiply decimal length by width: $10.5 \times 5 = 52.5$
Check: Verify units are squared and decimal placement is correct ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply with decimal precision
Don't treat 10.5 as 105 or round it to 10 = wrong area calculation! This changes the actual dimensions and gives an incorrect result. Always keep the decimal point in its exact position during multiplication.

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?

FAQ

Everything you need to know about this question

How do I multiply a decimal by a whole number?

Multiply normally, then count decimal places in the original numbers. Since 10.5 has 1 decimal place and 5 has none, your answer gets 1 decimal place: 52.5.

What units should I use for area?

Area is always measured in square units. If your rectangle dimensions are in centimeters, the area is in square centimeters (cm²). Don't forget the ² symbol!

Can I add the length and width instead of multiplying?

No! Adding gives you the perimeter (the distance around), not the area (space inside). For area, you must multiply length × width.

What if I get a different decimal answer?

Double-check your multiplication! Line up the numbers properly: $10.5 \times 5$ . Remember that 5 × 5 = 25 and 10 × 5 = 50, so 10.5 × 5 = 52.5.

Why is the rectangle showing dimensions 10.5 and 5?

The diagram shows the length (10.5) along the top and width (5) along the side. These are the two measurements you need to find the total space inside the rectangle.

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