Question

which figure has a greater perimeter? 4 cm 8 cm 8 cm 4 cm 5 cm 5 cm 5 cm 5 cm 5 cm 5 cm

Explanation:

Step1: Calculate rectangle perimeter

The formula for the perimeter of a rectangle is $P = 2(l + w)$. Here, $l = 8$ cm and $w = 4$ cm. So $P_{rectangle}=2\times(8 + 4)=2\times12 = 24$ cm.

Step2: Calculate hexagon perimeter

The perimeter of a regular hexagon with side - length $s$ is $P = 6s$. Here, $s = 5$ cm. So $P_{hexagon}=6\times5=30$ cm.

Step3: Compare perimeters

Since $24<30$, the hexagon has a greater perimeter.

Answer:

The hexagon