To find the area of the shaded shapes, we need to count the number of grid squares they cover. Let's look at each shaded shape individually.
Step 1: Identify the first shaded shape (top left square)
Looking at the upper part of the graph, there is a small shaded square located near the vertical red line.
- By counting the grid lines, we can see this shape is exactly
1 unit wide and
1 unit high.
- Area = width × height
- Area = $1 \times 1 = 1$ square unit.
Step 2: Identify the second shaded shape (top right square)
To the right of the first shape, there is another shaded square.
- This shape is also aligned with the grid lines.
- It is
1 unit wide and
1 unit high.
- Area = $1 \times 1 = 1$ square unit.
Step 3: Identify the third shaded shape (diagonal parallelogram)
Below the second square, there is a shaded shape that looks like a slanted rectangle (a parallelogram).
- To find its area, we can use the formula: $\text{Area} = \text{base} \times \text{height}$.
-
Base: Look at the bottom horizontal side of the shape. It spans across
2 grid units. So, the base is 2.
-
Height: Look at how tall the shape is vertically. It goes up
1 grid unit from the bottom line to the top line. So, the height is 1.
- Area = $2 \times 1 = 2$ square units.
*(Alternatively, you can cut off the triangle on the left side and move it to the empty space on the right side. This would form a perfect rectangle that is 2 units wide and 1 unit high, confirming the area is 2.)*
Step 4: Calculate the total area
Now, add the areas of all three shaded parts together:
- First square: 1
- Second square: 1
- Parallelogram: 2
Total Area = $1 + 1 + 2 = 4$
Final Answer:
4
Parent Tip: Review the logic above to help your child master the concept of coordinate grid art worksheet.
