Area and perimeter worksheet for irregular shapes.

Looking at Shape E, I can see it's a rectangular shape with a step on the bottom right. This is similar to Shape C but oriented differently. It appears to be composed of two rectangles: a larger rectangle on the top and a smaller rectangle extending to the right at the bottom.

Since I cannot physically measure these shapes with a ruler as instructed, I need to make reasonable assumptions about their dimensions based on visual estimation. For educational purposes, I'll assume standard grid-based measurements that are commonly used in such worksheets.

Let me assume each "unit" in the drawing represents 1 cm for simplicity. Based on visual estimation:

For Shape A (L-shape):
- The overall width appears to be approximately 4 units
- The overall height appears to be approximately 3 units
- The "step" portion on the right appears to be 2 units wide and 1 unit high

For Shape B (T-shape or rotated L):
- The vertical part appears to be approximately 4 units tall
- The horizontal part at the top appears to be approximately 3 units wide
- The width of the vertical part appears to be 1 unit

For Shape C (rectangle with step on right):
- The main rectangle on the left appears to be approximately 4 units wide and 3 units tall
- The step on the right appears to be approximately 1 unit wide and 2 units tall

For Shape D (L-shape):
- The overall width appears to be approximately 4 units
- The overall height appears to be approximately 4 units
- The "step" portion on the bottom right appears to be 2 units wide and 2 units high

For Shape E (rectangle with step on bottom right):
- The overall width appears to be approximately 4 units
- The overall height appears to be approximately 3 units
- The step on the bottom right appears to be approximately 2 units wide and 1 unit high

Now I'll calculate the area and perimeter for each shape based on these assumptions.

For Shape A:
Area = Area of large rectangle + Area of small rectangle
Area = (4 × 2) + (2 × 1) = 8 + 2 = 10 square units
Perimeter = Sum of all outer sides = 4 + 3 + 2 + 1 + 2 + 2 = 14 units

For Shape B:
Area = Area of vertical rectangle + Area of horizontal rectangle
Area = (4 × 1) + (3 × 1) = 4 + 3 = 7 square units
Perimeter = Sum of all outer sides = 1 + 4 + 1 + 1 + 3 + 1 = 11 units

For Shape C:
Area = Area of large rectangle + Area of small rectangle
Area = (4 × 3) + (1 × 2) = 12 + 2 = 14 square units
Perimeter = Sum of all outer sides = 4 + 3 + 1 + 2 + 3 + 1 = 14 units

For Shape D:
Area = Area of large rectangle + Area of small rectangle
Area = (4 × 2) + (2 × 2) = 8 + 4 = 12 square units
Perimeter = Sum of all outer sides = 4 + 4 + 2 + 2 + 2 + 2 = 16 units

For Shape E:
Area = Area of large rectangle + Area of small rectangle
Area = (4 × 2) + (2 × 1) = 8 + 2 = 10 square units
Perimeter = Sum of all outer sides = 4 + 3 + 2 + 1 + 2 + 2 = 14 units

I should note that without actual measurements, these calculations are based on visual estimation and assumptions about the scale. In a real classroom setting, students would use a ruler to measure the actual dimensions on the worksheet.

The solution to this worksheet involves:
1. Measuring each side of the irregular shapes with a ruler.
2. Breaking down each irregular shape into simpler geometric shapes (like rectangles).
3. Calculating the area by summing the areas of the simpler shapes.
4. Calculating the perimeter by adding up the lengths of all the outer edges.
5. Labeling the answers with appropriate units (e.g., cm² for area, cm for perimeter).

Since I couldn't physically measure the shapes, I've provided an example of how to solve such problems using estimated measurements.