Calculate Rectangle Area: Finding the Space of an 11 × 7 Rectangle

Q: Why do we multiply instead of add to find area?

Area measures space inside the rectangle. When you have 11 units across and 7 units down, you're creating 11 × 7 = 77 unit squares. Adding just gives you the perimeter (distance around).

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

No! Multiplication is commutative, so $ 11 \times 7 = 7 \times 11 = 77 $. You can multiply the dimensions in any order and get the same area.

Q: What units should my answer have?

Area is always in square units. If the rectangle measures 11 cm by 7 cm, the area would be 77 cm². If no units are given, just write the number.

Q: How can I visualize this multiplication?

Think of the rectangle as a grid of unit squares. You have 11 columns and 7 rows, creating 11 × 7 = 77 individual squares inside the rectangle.

Q: What if I get confused about area vs perimeter?

Remember: Area = space inside (multiply dimensions). Perimeter = distance around (add all four sides). For this rectangle: Area = 77, Perimeter = 2(11) + 2(7) = 36.

Rectangle Area with Integer 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:

$11\times7=77$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Area of rectangle equals length times width
Technique: Multiply dimensions: $11 \times 7 = 77$
Check: Count unit squares or verify multiplication: 11 groups of 7 = 77 ✓

Common Mistakes

Avoid these frequent errors

Adding dimensions instead of multiplying
Don't add length plus width (11 + 7 = 18) = this gives perimeter, not area! Adding only tells you the distance around the rectangle. Always multiply length times width to find the space inside.

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

Why do we multiply instead of add to find area?

Area measures space inside the rectangle. When you have 11 units across and 7 units down, you're creating 11 × 7 = 77 unit squares. Adding just gives you the perimeter (distance around).

Does it matter which number I call length or width?

No! Multiplication is commutative, so $11 \times 7 = 7 \times 11 = 77$ . You can multiply the dimensions in any order and get the same area.

What units should my answer have?

Area is always in square units. If the rectangle measures 11 cm by 7 cm, the area would be 77 cm². If no units are given, just write the number.

How can I visualize this multiplication?

Think of the rectangle as a grid of unit squares. You have 11 columns and 7 rows, creating 11 × 7 = 77 individual squares inside the rectangle.

What if I get confused about area vs perimeter?

Remember: Area = space inside (multiply dimensions). Perimeter = distance around (add all four sides). For this rectangle: Area = 77, Perimeter = 2(11) + 2(7) = 36.

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