Question

which figure has a greater perimeter? 53 m 53 m 53 m 53 m 53 m 53 m 90 m 50 m 50 m 90 m

Explanation:

Step1: Calculate hexagon perimeter

The hexagon has 6 sides of length 53 m. The perimeter formula for a regular polygon is $P = n\times s$ (where $n$ is the number of sides and $s$ is the side - length). So, $P_{hexagon}=6\times53 = 318$ m.

Step2: Calculate parallelogram perimeter

The parallelogram has two pairs of sides with lengths 90 m and 50 m. The perimeter formula for a parallelogram is $P = 2(a + b)$ (where $a$ and $b$ are the lengths of adjacent sides). So, $P_{parallelogram}=2(90 + 50)=2\times140 = 280$ m.

Step3: Compare perimeters

Since $318>280$, the hexagon has a greater perimeter.

Answer:

The hexagon has a greater perimeter.