What is the length of the missing side of a polygon with a perimeter of 56 cm where three sides measure 9 cm each and two sides measure 8 cm each?

What is the length of the missing side of a polygon with a perimeter of 56 cm where three sides measure 9 cm each and two sides measure 8 cm each?

• A. 13 cm
• B. 10 cm
• C. 14 cm
• D. 12 cm

Answer: (A)

To determine the length of the missing side of the polygon, we begin by calculating the total length contributed by the known sides. The polygon has three sides measuring 9 cm each and two sides measuring 8 cm each. First, we calculate the total length of the three sides measuring 9 cm: \[ 3 \times 9 = 27 \text{ cm} \] Next, we calculate the total length of the two sides measuring 8 cm: \[ 2 \times 8 = 16 \text{ cm} \] Now, we add these two contributions to find the total length of the known sides: \[ 27 \text{ cm} + 16 \text{ cm} = 43 \text{ cm} \] The perimeter of the polygon is given as 56 cm. To find the length of the missing side, we subtract the total length of the known sides from the perimeter: \[ 56 \text{ cm} - 43 \text{ cm} = 13 \text{ cm} \] Thus, the length of the missing side is 13 cm, which aligns with the first option. This calculation confirms that the answer is indeed true, as it completes the total perimeter

To determine the length of the missing side of the polygon, we begin by calculating the total length contributed by the known sides. The polygon has three sides measuring 9 cm each and two sides measuring 8 cm each.

First, we calculate the total length of the three sides measuring 9 cm:

[

3 \times 9 = 27 \text{ cm}

]

Next, we calculate the total length of the two sides measuring 8 cm:

[

2 \times 8 = 16 \text{ cm}

]

Now, we add these two contributions to find the total length of the known sides:

[

27 \text{ cm} + 16 \text{ cm} = 43 \text{ cm}

]

The perimeter of the polygon is given as 56 cm. To find the length of the missing side, we subtract the total length of the known sides from the perimeter:

[

56 \text{ cm} - 43 \text{ cm} = 13 \text{ cm}

]

Thus, the length of the missing side is 13 cm, which aligns with the first option. This calculation confirms that the answer is indeed true, as it completes the total perimeter