Question

1. perimeter =_ area =_ 5) perimeter =_ area =_ 6) perimeter =_ area =_ 7) perimeter =_ area =_

Explanation:

Step1: Count grid - lengths for perimeter

For each figure, count the number of unit - length sides that form the outer boundary. Each side of a grid square is of unit length.

Step2: Count grid - squares for area

For each figure, count the number of full grid - squares within the figure. Each grid - square has an area of 1 square unit.

Problem 4

• Perimeter: Counting the outer sides, we have 16 unit - length sides. So the perimeter is 16.
• Area: Counting the full grid - squares, we have 9. So the area is 9.

Problem 5

• Perimeter: Counting the outer sides, we get 18 unit - length sides. So the perimeter is 18.
• Area: Counting the full grid - squares, we have 8. So the area is 8.

Problem 6

• Perimeter: Counting the outer sides, we find 18 unit - length sides. So the perimeter is 18.
• Area: We can split the figure into a rectangle and a triangle. The rectangle has 6 full squares and the triangle has 2 full - equivalent squares (by combining non - full squares). So the area is 8.

Problem 7

• Perimeter: Counting the outer sides, we have 14 unit - length sides. So the perimeter is 14.
• Area: Counting the full grid - squares, we have 5. So the area is 5.

Answer:

1. Perimeter = 16, Area = 9
2. Perimeter = 18, Area = 8
3. Perimeter = 18, Area = 8
4. Perimeter = 14, Area = 5