Ella draws a square, and Mileah draws a rhombus.

If both shapes have sides that are 7 inches long, are their perimeters the same?
Use the drop‐down menus to show and explain your answer.

The perimeters
Choose...
the same.

Choose...
4 sides that are the same length. The perimeter of the square is
Choose...
inches, and the perimeter of the rhombus is
Choose...
inches.

The perimeters are the same.

Both shapes have 4 sides that are the same length. The perimeter of the square is 4 * 7 = 28 inches, and the perimeter of the rhombus is 4 * 7 = 28 inches.

The perimeters of the square and the rhombus are not the same.

A square has four sides that are the same length. Since each side of the square is 7 inches long, the perimeter of the square can be calculated by multiplying the length of one side by 4. Therefore, the perimeter of the square is 7 inches x 4 = 28 inches.

On the other hand, a rhombus has four sides that are equal in length, but the angles between these sides are not necessarily right angles like in a square. So, even though the sides of the rhombus are also 7 inches long, the shape of the rhombus can affect its perimeter. In order to find the perimeter of the rhombus, we need to know the measure of at least one of the angles. Without this information, we cannot determine the exact perimeter of the rhombus.

The perimeters are the same.

A square has 4 sides that are the same length, which in this case is 7 inches.

So, the perimeter of the square is 4 times the length of one side, which is 4 * 7 = 28 inches.

A rhombus also has 4 sides, but they don't have to be the same length. However, since the length of the sides of the rhombus is also 7 inches in this case, the perimeter of the rhombus would also be 4 times the length of one side, which is 4 * 7 = 28 inches.

Therefore, both the square and the rhombus have the same perimeter of 28 inches.