Finding area and perimeter (1) - Measuring and Time Worksheets for ... - Free Printable

Problem Overview:

The task involves sorting shapes based on their area (the number of square units they occupy) and then drawing two different shapes with the same area as a given shape.

#### Step 1: Calculate the Area of Each Shape
We need to count the number of square units in each shape. Here are the calculations:

- Shape a: 5 squares
- Shape b: 5 squares
- Shape c: 4 squares
- Shape d: 4 squares
- Shape e: 5 squares
- Shape f: 6 squares
- Shape g: 5 squares
- Shape h: 5 squares
- Shape i: 5 squares
- Shape j: 3 squares
- Shape k: 5 squares
- Shape l: 2 squares

#### Step 2: Group Shapes by Area
Now, we group the shapes based on their areas:

- Area = 2: Shape l
- Area = 3: Shape j
- Area = 4: Shapes c, d
- Area = 5: Shapes a, b, e, g, h, i, k
- Area = 6: Shape f

#### Step 3: Color the Shapes
Using different colors for each group:
- Use one color for all shapes with an area of 2.
- Use another color for all shapes with an area of 3.
- Use a third color for all shapes with an area of 4.
- Use a fourth color for all shapes with an area of 5.
- Use a fifth color for all shapes with an area of 6.

#### Step 4: Draw Two Different Shapes with the Same Area
The given shape has 6 red squares, so we need to draw two different shapes, each with an area of 6 square units.

##### Example Shapes:
1. A 6-square rectangle (2 rows × 3 columns):
```
XXXX
XXXX
```

2. An L-shaped figure:
```
XXX
X
XXX
```

Both of these shapes have an area of 6 square units but are different in shape.

Final Answer:

- Grouping by Area:
- Area = 2: Shape l
- Area = 3: Shape j
- Area = 4: Shapes c, d
- Area = 5: Shapes a, b, e, g, h, i, k
- Area = 6: Shape f

- Drawn Shapes with Area = 6:
1. Rectangle:
```
XXXX
XXXX
```
2. L-shape:
```
XXX
X
XXX
```

$$
\boxed{\text{See explanations above for grouping and drawn shapes.}}
$$