Calculate Rectangle Area: Finding Space of 7cm × 5cm Rectangle

Rectangle Area with Given Dimensions

ABCD is a rectangle.

Given in cm:

AB = 7

BC = 5

Calculate the area of the rectangle.

777555AAABBBCCCDDD

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of rectangle ABCD
00:03 We'll use the formula for calculating rectangle area
00:08 Side(AB) multiplied by side (BC)
00:19 We'll substitute appropriate values and solve for the area
00:26 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

ABCD is a rectangle.

Given in cm:

AB = 7

BC = 5

Calculate the area of the rectangle.

777555AAABBBCCCDDD

2

Step-by-step solution

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

AB×BC=7×5=35 AB\times BC=7\times5=35

3

Final Answer

35

Key Points to Remember

Essential concepts to master this topic
  • Formula: Rectangle area equals length times width
  • Calculation: Multiply AB × BC = 7 × 5 = 35
  • Check: Units are square centimeters (cm²) and answer is positive ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of multiplying dimensions
    Don't add the dimensions like 7 + 5 = 12! This gives you the perimeter of half the rectangle, not the area. Area measures space inside, so always multiply length × width.

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 the sides instead of adding them?

+

Area measures the space inside a shape. Think of it like counting squares - if you have 7 squares across and 5 squares down, you need 7 × 5 = 35 total squares. Adding gives you perimeter (distance around), not area!

Does it matter which side I call length or width?

+

No! Multiplication works both ways: 7 × 5 = 5 × 7 = 35. Whether you say AB is length or width doesn't change the area calculation.

What units should my answer have?

+

Since the sides are in centimeters (cm), the area is in square centimeters (cm²). Always square the original units for area problems!

How can I visualize this rectangle?

+

Picture a grid that's 7 squares wide and 5 squares tall. Count all the squares inside - that's your area! You can count them one by one or multiply 7 × 5 for the same result.

What if I get confused about which formula to use?

+

For rectangles, always use Area = length × width. If you need the distance around the outside instead, that's perimeter = 2(length + width). Read the question carefully!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Rectangles questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations