Area by Counting Unit Squares
Grade 5 · Math
Area by Counting Unit Squares
3 activities · Fill in! · Sort it!
Count unit squares for irregular shapes, perimeter of polygons, triangle area (½ × b × h)
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1

Count unit squares to find each area. Each small square = 1 sq cm.

Fill in!
A 3×3 square on the grid: area =
9 sq cm
12 sq cm
8 sq cm
A shape covering 8 full squares and 4 half-squares: area =
12 sq cm
6 sq cm
10 sq cm
An L-shaped region covering exactly 6 full squares: area =
6 sq cm
8 sq cm
9 sq cm
A 2×4 rectangle: area =
9 sq cm
8 sq cm
6 sq cm
A 2×2 square on the grid: area =
16 sq cm
4 sq cm
15 sq cm
2

A shape is drawn on squared paper. Sort each region by how much it counts toward the area.

Sort it!
1A square sliced diagonally with equal parts inside and outside
2A square completely inside the shape
3A square almost entirely outside the shape
4A square cut exactly in half by the boundary
5A square with more than half its area inside the shape
6A square with only a tiny corner inside the shape
Count as 1 full square
write sentence numbers here
Count as 1/2 square
write sentence numbers here
Do not count
write sentence numbers here
3

Find the perimeter of each polygon by adding all its sides.

Fill in!
Regular hexagon, side = 4 cm: perimeter =
24 cm
18 cm
12 cm
Equilateral triangle, side = 4 cm: perimeter =
12 cm
21 cm
36 cm
Isosceles triangle, sides 5 cm, 5 cm, 8 cm: perimeter =
18 cm
21 cm
20 cm
Regular hexagon, side = 6 cm: perimeter =
30 cm
36 cm
28 cm
Regular pentagon, side = 4 cm: perimeter =
20 cm
28 cm
18 cm
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