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Question
Jason drew a square with a side length of 8 cm. Bella drew a rhombus with a side length of 8 cm. Jason says the perimeter of the square is smaller than the perimeter of the rhombus. Bella says they have the same perimeter. Which of them is correct and why?

(1 point)
Responses

Jason is correct because a square is always smaller than a rhombus.

Jason is correct because a square is always smaller than a rhombus.

Bella is correct because the rhombus and square have equal side lengths.

Bella is correct because the rhombus and square have equal side lengths.

Jason is correct because a square has fewer sides than a rhombus.

Jason is correct because a square has fewer sides than a rhombus.

Bella is correct because a square is half the perimeter of the rhombus.

Answer 1

To determine who is correct, let's calculate the perimeters of both shapes.

1. **Perimeter of the square:**
- A square has four equal sides. The formula for the perimeter \( P \) of a square with side length \( s \) is:
\[
P = 4s
\]
- For Jason's square with a side length of 8 cm:
\[
P = 4 \times 8 = 32 \text{ cm}
\]

2. **Perimeter of the rhombus:**
- A rhombus also has four equal sides. The perimeter \( P \) of a rhombus with side length \( s \) is similarly:
\[
P = 4s
\]
- For Bella's rhombus with a side length of 8 cm:
\[
P = 4 \times 8 = 32 \text{ cm}
\]

Now, comparing the two perimeters:
- The perimeter of the square is 32 cm, and the perimeter of the rhombus is also 32 cm.

Since both shapes have the same perimeter, Bella is correct. The correct response is:

**Bella is correct because the rhombus and square have equal side lengths.**