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Area and Perimeter Worksheets
Make area and perimeter worksheets: count squares on a grid, use side lengths, L-shaped figures or find a missing side. Answer key included. Free.
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Answer key
k5print.com
This free tool makes printable area and perimeter worksheets that run in your web browser. You pick a shape style, set the number range and units, and print a sheet with an optional answer key. The five styles cover rectangles on a grid, shapes on a grid, rectangles with side lengths, L-shaped figures, and finding a missing side, so you can match the practice to where a child is in the topic. Area and perimeter worksheets work best when children can see that area counts the squares inside a shape and perimeter measures the distance around its edge. Nothing is uploaded, and no account or sign-up is needed.
How to use the area and perimeter worksheet tool
- Pick a style from Shapes: Rectangles on a grid (count the squares), Shapes on a grid, Rectangles with side lengths, L-shaped figures with side lengths, or Find the missing side.
- Set Find to Area and perimeter, Area only, or Perimeter only. This setting does not apply to the Find the missing side style.
- For the Find the missing side style, choose Given: Mix of area and perimeter, Area and one side, or Perimeter and one side.
- Choose Size of the shapes: Small numbers, Medium, or Large numbers.
- Choose Units: Square units (no measure), Centimeters, Meters, Inches, or Feet.
- Set Shapes on the page to 4, 6, 8, 9, or 12, and Across the page to 2 or 3.
- Type a Title on the sheet. The default is Area and Perimeter.
- Keep Include answer key checked to print answers on a separate page after the worksheet, or uncheck it to leave answers off.
- Select Print or save as PDF. You can choose US Letter or A4 paper.
The preview updates as you change each setting. The page address stores your settings, so a bookmarked or shared link opens the same sheet. New worksheet creates a different sheet with the same settings, and its short code appears under the buttons. Reset settings restores the defaults. At the default settings (6 grid rectangles, 2 across), the sheet fits one page plus an answer key page.
What is the difference between area and perimeter?
Area is the amount of flat space inside a shape, measured in square units. Perimeter is the distance all the way around the outside of a shape, measured in plain units such as centimeters. On a grid, a child counts the squares inside for area and the edges along the outside for perimeter.
The two measures are different even for the same shape. A rectangle that is 6 squares wide and 4 squares tall has an area of 24 square units and a perimeter of 20 units. To find a perimeter, add the length of every side. Area and perimeter answers always carry different units, so a label such as “square cm” for area and “cm” for perimeter helps show which one is being measured.
How do you find the area of a rectangle?
Multiply the length by the width: area = length × width. Six columns with 4 squares in each column gives 24 squares, which matches 6 × 4. The area always uses square units, so a 6 by 4 rectangle measured in centimeters has an area of 24 square cm.
For the perimeter of a rectangle, add the length and width, then double the result: perimeter = 2 × (length + width). The same 6 by 4 rectangle has a perimeter of 2 × (6 + 4) = 20.
An L-shaped figure is a large rectangle with a corner cut away. Multiply the full width by the full height, then subtract the missing corner. For example, a 10 by 9 figure with a 1 by 5 corner cut has an area of 90 − 5 = 85. Its perimeter is the same as the full rectangle: 2 × (10 + 9) = 38.
When a side is missing, use the known measure to work backward. If the area is 30 and one side is 6, divide 30 by 6 to get the other side, 5. If the perimeter is 20 and one side is 4, divide 20 by 2 to get 10, then subtract 4 to get 6.
A square is a special rectangle, so the same formulas work: a square with sides of 4 units has an area of 16 square units and a perimeter of 16 units.
Questions teachers and parents ask
How do you find the perimeter of a shape?
Add the lengths of all the sides around the outside. For a rectangle, you can use 2 × (length + width) instead. On an L-shaped figure, the perimeter matches the full rectangle, so you do not need to add up each notch.
How do you find the area of an L-shaped figure?
Find the area of the full rectangle formed by its outside width and height, then subtract the area of the cut-out corner. The shape in the example above has an area of 85 square units.
How do you find a missing side when you know the area or perimeter?
For area, divide the area by the side you know. For perimeter, divide the perimeter by 2 and subtract the side you know. The answer is always a whole number on this tool's Find the missing side sheets.
Does the answer key print on a separate page?
Yes. When Include answer key is checked, the answers print on their own page after the worksheet. Uncheck the box if you want a worksheet without answers.
Which paper sizes can I print on?
You can set the paper to US Letter or A4 before you print. You can also use the browser's print dialog to save the sheet as a PDF.
Do I need an account to make a worksheet?
No. The tool runs in your web browser, requires no sign-up, and is free to use.
More tools
- Math worksheetsuse it to find worksheets across other math topics.Open
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- Multiplication chartuse it as a quick reference when multiplying side lengths.Open
- Addition worksheetsuse it to practice adding side lengths to find a perimeter.Open
- Division worksheetsuse it to practice dividing area by a known side.Open
- Long division worksheetsuse it when area or perimeter problems involve larger numbers.Open
- Fractions worksheetsuse it to practice measuring parts of a unit.Open
- Place value worksheetsuse it to build the number sense needed for larger side lengths.Open
- Rounding worksheetsuse it to estimate area or perimeter before calculating an exact answer.Open
Fonts and other open-source parts used by these tools are listed on the credits page.