Questions: Use the drop-downs to complete the following statements. The perimeter of the rectangle is cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are The perimeter of the new rectangle is cm. When comparing the new perimeter to the original perimeter, the new perimeter is

Use the drop-downs to complete the following statements.

The perimeter of the rectangle is cm.

If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are

The perimeter of the new rectangle is cm.

When comparing the new perimeter to the original perimeter, the new perimeter is

Transcript text: Use the drop-downs to complete the following statements. The perimeter of the rectangle is $\square$ cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are $\square$ The perimeter of the new rectangle is $\square$ cm. When comparing the new perimeter to the original perimeter, the new perimeter is $\square$

Solution

Solution Steps

Step 1: Calculate the perimeter of the original rectangle.

The perimeter of a rectangle is given by the formula: P = 2(length + width). The given rectangle has a length of 9 cm and a width of 5 cm. Therefore, the perimeter is 2 * (9 cm + 5 cm) = 2 * 14 cm = 28 cm.

Step 2: Calculate the dimensions of the dilated rectangle.

The original rectangle is dilated by a scale factor of 6. This means the new dimensions are 6 times the original dimensions. New length = 6 * 9 cm = 54 cm. New width = 6 * 5 cm = 30 cm.

Step 3: Calculate the perimeter of the dilated rectangle.

The new rectangle has dimensions 54 cm by 30 cm. Its perimeter is 2 * (54 cm + 30 cm) = 2 * 84 cm = 168 cm.

Step 4: Compare the perimeters.

The new perimeter (168 cm) is 6 times the original perimeter (28 cm).