Calculate Rectangle Perimeter: Given Sides 1.5 cm and 9.5 cm

Rectangle Perimeter with Given Side Lengths

Look at the rectangle below.

Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.

What is the perimeter of the rectangle?

1.51.51.5AAABBBCCCDDD9.5

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1

Understand the problem

Look at the rectangle below.

Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.

What is the perimeter of the rectangle?

1.51.51.5AAABBBCCCDDD9.5

2

Step-by-step solution

Since in a rectangle every pair of opposite sides are equal to each other, we can state that:

AD=BC=9.5 AD=BC=9.5

AB=CD=1.5 AB=CD=1.5

Now we can add all the sides together and find the perimeter:

1.5+9.5+1.5+9.5=19+3=22 1.5+9.5+1.5+9.5=19+3=22

3

Final Answer

22 cm

Key Points to Remember

Essential concepts to master this topic
  • Rule: Rectangle has two pairs of equal opposite sides
  • Technique: Add all four sides: 1.5 + 9.5 + 1.5 + 9.5
  • Check: Verify opposite sides are equal: AD = BC and AB = CD ✓

Common Mistakes

Avoid these frequent errors
  • Adding only the two given measurements
    Don't just add 1.5 + 9.5 = 11 cm! This only gives you two sides, not the complete perimeter. A rectangle has 4 sides total. Always add all four sides: both pairs of opposite sides.

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 the same numbers twice?

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Because a rectangle has 4 sides total! Even though opposite sides are equal (AD = BC = 9.5 cm and AB = CD = 1.5 cm), you still need to count all 4 sides when finding perimeter.

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

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Absolutely! P = 2(length + width) = 2(9.5 + 1.5) = 2(11) = 22 cm. This formula is actually faster than adding all four sides individually.

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

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It doesn't matter! In this problem, you can call either measurement the length or width. The perimeter will be the same because you're adding both measurements twice.

What if the rectangle was drawn differently - would the answer change?

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No! The perimeter depends only on the side lengths, not how the rectangle is positioned or drawn. As long as the sides are 1.5 cm and 9.5 cm, the perimeter is always 22 cm.

Do I need to include units in my final answer?

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Yes! Always include units when given in the problem. Since the sides are measured in centimeters, your perimeter answer should be 22 cm.

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