Area and perimeter of figures on grids
Key Notes :
Area:
- Definition: Area is the amount of space inside a shape, measured in square units (like square centimeters or square inches).
- Counting Squares: On a grid, students learn to count the number of unit squares inside a shape to find its area.
- Formula: Area can also be found using the formula:Area=length×width .This formula applies to rectangles and squares.
- Irregular Shapes: For irregular shapes on a grid, students can break down the shape into smaller rectangles or squares and add their areas together.


Perimeter:
- Definition: Perimeter is the distance around the outside of a shape.
- Counting Sides: On a grid, students count the number of unit squares along the boundary of the shape to find its perimeter.
- Formula: For rectangles and squares, perimeter is calculated using Perimeter=2×(length+width).
- Units: Perimeter is measured in the same units as the sides of the shape (e.g., centimeters, inches).

Key Skills and Practices:
- Drawing Shapes: Practice drawing shapes on grids accurately.
- Measuring: Use rulers or grid lines to measure sides precisely.
- Calculating: Apply formulas correctly to find both area and perimeter.
- Problem Solving: Solve word problems that involve finding area and perimeter of figures on grids, which may include real-world applications.
Learn with an example
▶️ What is the perimeter of the shaded figure?

____ units
Find the length of the black border.

The perimeter is 6 units.
▶️ 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.
▶️ 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!🖊️