A rectangle is made up of 16 squares of side 1 cm each. What possible dimensions can the rectangle have ?

Answer

To find the possible dimensions of a rectangle made up of 16 squares of side 1 cm each, we can follow these steps:

### Step 1: Calculate the Area of the Rectangle
Since each square has a side of 1 cm, the area of one square is:
\[ \text{Area of one square} = 1 \, \text{cm} \times 1 \, \text{cm} = 1 \, \text{cm}^2 \]

Given that there are 16 squares, the total area of the rectangle is:
\[ \text{Total Area} = 16 \, \text{cm}^2 \]

### Step 2: Find the Factors of the Area
To determine the possible dimensions of the rectangle, we need to find the factors of the area (16 cm²). The factors of 16 are:
- 1
- 2
- 4
- 8
- 16

### Step 3: Pair the Factors to Find Dimensions
Next, we pair the factors to find the possible dimensions (length and width) of the rectangle. The pairs of factors that multiply to give 16 are:
1. \(1 \times 16\)
2. \(2 \times 8\)
3. \(4 \times 4\)

### Step 4: List the Possible Dimensions
The possible dimensions of the rectangle are:
1. Length = 1 cm, Width = 16 cm
2. Length = 2 cm, Width = 8 cm
3. Length = 4 cm, Width = 4 cm

### Final Answer
The possible dimensions of the rectangle are:
- 1 cm x 16 cm
- 2 cm x 8 cm
- 4 cm x 4 cm

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