Area and perimeter of figures on grids

Key Notes :

Area:

  1. Definition: Area is the amount of space inside a shape, measured in square units (like square centimeters or square inches).
  2. Counting Squares: On a grid, students learn to count the number of unit squares inside a shape to find its area.
  3. Formula: Area can also be found using the formula:Area=length×width .This formula applies to rectangles and squares.
  4. 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:

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

Key Skills and Practices:

  1. Drawing Shapes: Practice drawing shapes on grids accurately.
  2. Measuring: Use rulers or grid lines to measure sides precisely.
  3. Calculating: Apply formulas correctly to find both area and perimeter.
  4. 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!🖊️