Perimeter and Area on a Grid



A grid is made of a number of unit squares. Figures are drawn on a grid.
The perimeter of a figure is the total length of its outline or boundary and this is found by counting the number of unit lengths along the boundary of the figure. The area of a figure on grid is found by counting the total number of unit squares it occupies.

Find the perimeter and the area of the shaded shape on the grid.

Shaded Shape on Grid

Solution

Step 1:

The shaded shape on the grid is a rectangle. Its length is 4 units and width is 3 units.

Step 2:

Perimeter of the shaded shape = 3 + 4 + 3 + 4 = 14 units

Step 3:

Area of the shaded shape = length × width

= 4 × 3 = 12 square units

Find the perimeter and area of the shaded shape on the grid.

Shaded Shape on Grid

Solution

Step 1:

The shaded shape on the grid is a combination of shapes. Its side lengths are 2, 2, 2, 1, 3, 4, 3, and 1 units

Step 2:

Perimeter of the shaded shape = 2 + 2 + 2 + 1 + 3 + 4 + 3 + 1 = 18 units

Step 3:

Area of the shaded shape = sum of shaded squares × 1 square unit

= 16 × 1 = 16 square units



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