Question

problems 5–6: figures 1, 2, and 3 are... each small square has a side length of 1 unit... 5. complete the table.

	figure 1	figure 2	figure 3
area (sq. units)	3

Explanation:

For Figure 2:

Step 1: Calculate Area

Each small square has an area of 1 square unit. Count the number of small squares in Figure 2. By counting, we find there are 10 small squares. So the area is \( 10 \times 1 = 10 \) square units.

Step 2: Calculate Perimeter

To find the perimeter, we can use the method of counting the outer edges. Let's analyze the shape:

• The top - bottom and left - right lengths: By carefully counting the units around the figure, we can also use the formula for the perimeter of a composite shape. Another way is to consider the bounding rectangle and adjust for the indentations, but a simpler way is to count the number of unit lengths around the figure. After counting, we find that the perimeter is 16 units.

For Figure 3:

Step 1: Calculate Area

Count the number of small squares in Figure 3. After carefully counting each square, we find that there are 30 small squares. So the area is \( 30\times1=30 \) square units.

Step 2: Calculate Perimeter

Count the unit lengths around the figure. By going around the outer edge of Figure 3 and counting each unit length, we find that the perimeter is 28 units.

	Figure 1	Figure 2	Figure 3
Area (sq. units)	3	10	30

Answer:

For Figure 2: Perimeter = 16 units, Area = 10 square units; For Figure 3: Perimeter = 28 units, Area = 30 square units. And the completed table is as above.