Skip to content

Perimeter and Area

Learn to calculate perimeter and area of rectangles and other shapes

Written and reviewed by the Study Mondo Education TeamLast updated
🎯⭐ INTERACTIVE LESSON

Try the Interactive Version!

Learn step-by-step with practice exercises built right in.

Start Interactive Lesson →

Perimeter and Area

Perimeter

Perimeter is the distance around a shape. Add all the side lengths.

Rectangle Perimeter

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

where ll = length and ww = width

Square Perimeter

P=4sP = 4s

where ss = side length

Area

Area is the amount of space inside a shape (measured in square units).

Rectangle Area

A=l×wA = l \times w

Square Area

A=s2A = s^2

Triangle Area

A=12bhA = \frac{1}{2}bh

where bb = base and hh = height

Units

  • Perimeter: linear units (cm, m, in, ft)
  • Area: square units (cm², m², in², ft²)

📚 Practice Problems

1Problem 1easy

❓ Question:

Find the perimeter of a rectangle with length 8 cm and width 5 cm.

💡 Show Solution

Solution:

Use the formula: P=2(l+w)P = 2(l + w)

P=2(8+5)P = 2(8 + 5) P=2(13)P = 2(13) P=26P = 26

Answer: 26 cm

2Problem 2medium

❓ Question:

A rectangular garden is 12 feet long and 7 feet wide. What is its area?

💡 Show Solution

Solution:

Use the formula: A=l×wA = l \times w

A=12×7A = 12 \times 7 A=84A = 84

Answer: 84 square feet (or 84 ft²)

3Problem 3hard

❓ Question:

A rectangle has a perimeter of 40 inches and a length of 12 inches. What is its width? Then find the area.

💡 Show Solution

Solution:

Find width: P=2(l+w)P = 2(l + w) 40=2(12+w)40 = 2(12 + w) 40=24+2w40 = 24 + 2w 16=2w16 = 2w w=8 inchesw = 8 \text{ inches}

Find area: A=l×w=12×8=96A = l \times w = 12 \times 8 = 96

Answer: Width = 8 inches; Area = 96 in²

Explain using:

📌 Related Topics in Geometry Basics

❓ Frequently Asked Questions

What is Perimeter and Area?▾
Learn to calculate perimeter and area of rectangles and other shapes
How can I study Perimeter and Area effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 3 problems provided, checking solutions as you go. Regular review and active practice are key to retention.
Is this Perimeter and Area study guide free?▾
Yes — all study notes, flashcards, and practice problems for Perimeter and Area on Study Mondo are free to access. No account is needed.
What course covers Perimeter and Area?▾
Perimeter and Area is part of the Grade 6 Math course on Study Mondo, specifically in the Geometry Basics section. You can explore the full course for more related topics and practice resources.
Are there practice problems for Perimeter and Area?▾
Yes, this page includes 3 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.