Compare Perimeter and Circumference: Rectangle 10x2 vs Square 4x4 vs Triangle vs Circle

To solve this problem, we need to calculate the perimeters and circumference of the provided figures:

• **Perimeter of the Rectangle**: Given length $l = 10$ and width $w = 2$. $P_{\text{rectangle}} = 2(l + w) = 2(10 + 2) = 2 \times 12 = 24 \text{ units}$
• **Perimeter of the Square**: Each side $s = 4$. $P_{\text{square}} = 4 \times s = 4 \times 4 = 16 \text{ units}$
• **Perimeter of the Trapezoid**: Bases are 7 and 4, sides are both 5. $P_{\text{trapezoid}} = 7 + 4 + 5 + 5 = 21 \text{ units}$
• **Circumference of the Circle**: Diameter $d = 14$, so radius $r = \frac{d}{2} = 7$. $C_{\text{circle}} = 2\pi r = 2\pi \times 7 = 14\pi \approx 43.98 \text{ units}$

Now, comparing the values: - Rectangle: 24 units - Square: 16 units - Trapezoid: 21 units - Circle: approximately 43.98 units

Therefore, the circle has the largest perimeter or circumference.

The correct answer is $\text{The circle}$.