Perimeter of Rectangle Practice Problems & Worksheets

Master rectangle perimeter calculations with step-by-step practice problems, formula examples, and real-world applications for students.

📚Master Rectangle Perimeter with Interactive Practice
  • Calculate perimeter using the P = 2l + 2w formula
  • Solve problems with missing side lengths given perimeter
  • Work with decimal measurements in rectangle perimeter problems
  • Apply perimeter concepts to real-world rectangular shapes
  • Identify opposite sides and their equal properties in rectangles
  • Convert between different units when calculating perimeter

Understanding Perimeter of a Rectangle

Complete explanation with examples

The perimeter of the rectangle is the sum of the length of all its sides.

For example, if the sides of the rectangle are A,B,C and D A, B, C~and~D , its perimeter will be AB+BC+CD+DA AB + BC + CD + DA . It is customary to indicate the perimeter by the letter P P .

Important to remember!

Rectangles have two pairs of opposite, parallel and equal sides. Therefore, it is enough to know the length of two coincident sides to calculate their perimeter.

Image The perimeter of rectangle P=AB + BC + CD + DA

Detailed explanation

Practice Perimeter of a Rectangle

Test your knowledge with 18 quizzes

ABCD, EFCD, and ABFE are all rectangles.

Calculate the perimeter of rectangle ABCD.

AAABBBCCCDDDEEEFFF395

Examples with solutions for Perimeter of a Rectangle

Step-by-step solutions included
Exercise #1

Calculate the perimeter of the rectangle below.

181818222

Step-by-Step Solution

To solve this problem, we'll start by identifying the given dimensions of the rectangle: the length l=18 l = 18 and the width w=2 w = 2 .

Next, we apply the perimeter formula for a rectangle, which is given by:

P=2(l+w) P = 2(l + w)

Substitute the given values for the length and width into the formula:

P=2(18+2) P = 2(18 + 2)

Calculating further, we find:

P=2×20=40 P = 2 \times 20 = 40

Thus, the perimeter of the rectangle is 40 40 . Among the provided answer choices, this corresponds to choice 1.

Answer:

40

Video Solution
Exercise #2

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

Step-by-Step Solution

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

AB=CD=2 AB=CD=2

AD=BC=7 AD=BC=7

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

2+7+2+7=4+14=18 2+7+2+7=4+14=18

Answer:

18 cm

Video Solution
Exercise #3

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

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

Answer:

22 cm

Video Solution
Exercise #4

Look at the rectangle below:

AAABBBCCCDDD107

Calculate its perimeter.

Step-by-Step Solution

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

AB=CD=10 AB=CD=10

BC=AD=7 BC=AD=7

Now let's add all the sides together to find the perimeter of the rectangle:

10+7+10+7=20+14=34 10+7+10+7=20+14=34

Answer:

34

Video Solution
Exercise #5

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

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

Answer:

33.6 cm

Video Solution

Frequently Asked Questions

What is the formula for finding the perimeter of a rectangle?

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The perimeter formula for a rectangle is P = 2l + 2w or P = 2(length + width). Since rectangles have two pairs of equal opposite sides, you can also calculate it as P = length + width + length + width.

How do I find the perimeter of a rectangle with sides 5 cm and 8 cm?

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Using the formula P = 2l + 2w: P = 2(8) + 2(5) = 16 + 10 = 26 cm. You can also add all four sides: 8 + 5 + 8 + 5 = 26 cm.

What's the difference between perimeter and area of a rectangle?

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Perimeter measures the distance around the rectangle's edges (P = 2l + 2w), while area measures the space inside (A = length × width). Perimeter is measured in linear units (cm, inches), area in square units (cm², inches²).

Can I find a rectangle's area if I only know the perimeter?

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No, you cannot determine the exact area with only the perimeter. A perimeter of 24 cm could belong to rectangles with different dimensions: 10×2 (area=20) or 8×4 (area=32). You need at least one side length.

How do I solve rectangle perimeter word problems step by step?

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Follow these steps: 1) Identify what information is given (side lengths, perimeter, etc.), 2) Write down the perimeter formula P = 2l + 2w, 3) Substitute known values, 4) Solve for the unknown variable, 5) Check your answer makes sense.

What are common mistakes when calculating rectangle perimeter?

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Common errors include: forgetting that opposite sides are equal, adding only two sides instead of all four, confusing perimeter with area formulas, and mixing up length and width in word problems.

How do I work with decimal numbers in rectangle perimeter problems?

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Treat decimals the same as whole numbers in the formula P = 2l + 2w. For example, with sides 4.8 cm and 12 cm: P = 2(4.8) + 2(12) = 9.6 + 24 = 33.6 cm. Always include units in your final answer.

Why do rectangles have two pairs of equal sides?

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Rectangles are parallelograms with four right angles (90°). By definition, opposite sides in parallelograms are parallel and equal in length. This property allows us to use the simplified formula P = 2l + 2w instead of adding four different measurements.

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