Calculate Rectangle Side Length: Area 50 with Height 5

Q: What if I forget the area formula?

Think of it practically: How many unit squares fit inside? If you have a 10×5 rectangle, you can fit 10 squares across and 5 rows down, giving you 50 total squares!

Q: Why do I divide by 5 instead of subtract?

Because we're working with multiplication! Since Area = AB × AC, to find AB when Area = 50 and AC = 5, we need to undo the multiplication by dividing: AB = 50 ÷ 5.

Q: How can I double-check my work?

Always substitute back into the original formula: AB × AC = Area. If 10 × 5 = 50, then your answer is correct!

Rectangle Area Formula with Given Dimensions

The area of the rectangle below is equal to 50.

AC = 5

How long is side AB?

❤️ 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

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The area of the rectangle below is equal to 50.

AC = 5

How long is side AB?

Step-by-step solution

The area of a rectangle is equal to its length multiplied by its width.

Let's first input the given data into the formula:

$S=AB\times AC$

$50=AB\times5$

Let's now divide both sides by 5:

$AB=10$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Rectangle area equals length times width (A = l × w)
Technique: Substitute known values: 50 = AB × 5, then solve
Check: Verify by multiplying: 10 × 5 = 50 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying dimensions
Don't calculate AB + AC = 50 - 5 = 45! Adding dimensions gives perimeter, not area. Always use multiplication: Area = length × width, so AB = 50 ÷ 5 = 10.

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?

FAQ

Everything you need to know about this question

How do I know which side is length and which is width?

It doesn't matter! In rectangles, you can call either dimension length or width. The area formula A = l × w works the same way regardless of which side you choose.

What if I forget the area formula?

Think of it practically: How many unit squares fit inside? If you have a 10×5 rectangle, you can fit 10 squares across and 5 rows down, giving you 50 total squares!

Why do I divide by 5 instead of subtract?

Because we're working with multiplication! Since Area = AB × AC, to find AB when Area = 50 and AC = 5, we need to undo the multiplication by dividing: AB = 50 ÷ 5.

Can the answer be a decimal or fraction?

Absolutely! Rectangle sides can be any positive number. If your calculation gives you $\frac{15}{2}$ or 7.5, that's a perfectly valid answer.

How can I double-check my work?

Always substitute back into the original formula: AB × AC = Area. If 10 × 5 = 50, then your answer is correct!

🌟 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