Area and perimeter of figures on grids
Key Notes :
๐ Area and Perimeter of Figures on Grids
1๏ธโฃ What is Perimeter?
Definition: Perimeter is the total distance around a figure.
How to find: Add the lengths of all sides.
Example:
A rectangle on a grid with sides 4 units and 3 units:
- Perimeter = 4 + 3 + 4 + 3 = 14 units โ๏ธ
Tip: Count squares along the boundary if sides are on a grid. ๐ฆ
2๏ธโฃ What is Area?
Definition: Area is the amount of space inside a figure.
How to find: Count all the squares inside the shape on the grid. ๐ฉ
Formula for common shapes:
- Rectangle โ Area = length ร width
- Square โ Area = side ร side
Tip: Each small square on a grid usually represents 1 unitยฒ.
3๏ธโฃ Using Grids to Measure
Grid lines help:
- Count the number of squares inside โ Area
- Count the squares around the edges โ Perimeter
Shortcut: For rectangles & squares, use formulas instead of counting every square. ๐งฎ
4๏ธโฃ Irregular Shapes
- Break the shape into smaller rectangles or squares, find area of each part, and then add them together.
- For perimeter, trace the outline along the grid squares and sum the lengths. ๐
5๏ธโฃ Tips & Tricks ๐ก
- Color the squares inside a shape to count area easily. ๐จ
- Use a ruler or unit squares to measure the length of sides for perimeter. ๐
- Double-check: Make sure each side is counted only once for perimeter! โ
6๏ธโฃ Fun Emoji Memory Aid
- ๐ฉ = square unit โ area
- ๐ = ruler โ perimeter
- โ = sum โ add all sides or areas
Learn with an example
โถ๏ธ What is the perimeter of the shaded figure?

____ units
Find the length of the black border.

The perimeter is 6 units.
โถ๏ธ What is the area of the shaded figure?

____ square units
Count the shaded unit squares.

There are 4 shaded unit squares. The area is 4 square units.
โถ๏ธ What is the area of the shaded figure?

_____ square units
Count the shaded unit squares.

There are 2 shaded unit squares. The area is 2 square units.
Let’s practice!๐๏ธ

