Calculate Rectangle Perimeter: Finding the Total Length of a 4.8 cm × 12 cm Rectangle

Rectangle Perimeter with Given Side Lengths

Look at the rectangle below.

Side AB is 4.8 cm long and side AD has a length of 12 cm.

What is the perimeter of the rectangle?
4.84.84.8121212AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the perimeter of rectangle ABCD
00:03 Opposite sides are equal in a rectangle
00:10 The perimeter of the rectangle equals the sum of its sides
00:19 Let's substitute appropriate values and solve for the perimeter
00:26 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the rectangle below.

Side AB is 4.8 cm long and side AD has a length of 12 cm.

What is the perimeter of the rectangle?
4.84.84.8121212AAABBBCCCDDD

2

Step-by-step solution

In the drawing, we have a rectangle, although it is not placed in its standard form and is slightly rotated,
but this does not affect that it is a rectangle, and it still has all the properties of a rectangle.
 
The perimeter of a rectangle is the sum of all its sides, that is, to find the perimeter of the rectangle we will have to add the lengths of all the sides.
We also know that in a rectangle the opposite sides are equal.
Therefore, we can use the existing sides to complete the missing lengths.
 
4.8+4.8+12+12 =
33.6 cm

3

Final Answer

33.6 cm

Key Points to Remember

Essential concepts to master this topic
  • Formula: Perimeter = 2(length + width) for any rectangle
  • Technique: Add opposite sides: 4.8 + 4.8 + 12 + 12 = 33.6 cm
  • Check: Verify opposite sides are equal: AB = CD and AD = BC ✓

Common Mistakes

Avoid these frequent errors
  • Adding only the two given sides
    Don't just add 4.8 + 12 = 16.8 cm! This gives you only half the perimeter because you're missing the other two sides. Always remember that rectangles have 4 sides, and opposite sides are equal in length.

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?
666444AAABBBCCCDDD

FAQ

Everything you need to know about this question

Why do I need to add all four sides when only two are given?

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In a rectangle, opposite sides are always equal. So if AB = 4.8 cm, then CD also equals 4.8 cm. If AD = 12 cm, then BC also equals 12 cm. The perimeter includes all four sides!

Can I use the formula P = 2(l + w) instead?

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Yes! That's actually faster: P = 2(12 + 4.8) = 2(16.8) = 33.6 cm. Both methods give the same answer, so use whichever feels easier to you.

Does it matter that the rectangle looks tilted in the diagram?

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Not at all! The orientation doesn't change the side lengths or perimeter. Whether the rectangle is upright, tilted, or rotated, the measurements stay the same.

What if I accidentally multiply the sides instead of adding?

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Multiplying gives you the area (4.8 × 12 = 57.6 cm²), not the perimeter! Remember: perimeter is the distance around the shape, so you add all the sides.

How can I double-check my perimeter calculation?

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Use both methods! First add all four sides: 4.8 + 4.8 + 12 + 12. Then try the formula: 2(4.8 + 12). If you get 33.6 cm both ways, you're correct!

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