Question

Sarah has a picture that measures 6 inches long and 8 inches wide. She wants to reduce her picture by a dilation factor of 1/2. What are the dimensions of her new picture?

A) 3 inches long
B) 4 inches long
C) 3 inches wide
D) 4 inches wide

Answer 1

After applying a dilation factor of 1/2 to Sarah's picture, the new dimensions become 3 inches long and 4 inches wide.

Step-by-step explanation:

Sarah wants to reduce the size of her picture by a dilation factor of 1/2. To find the new dimensions of her picture, we multiply the original dimensions by the dilation factor. The original dimensions are 6 inches in length and 8 inches in width.

The new length is calculated as follows:
Original Length × Dilation Factor = 6 inches × 1/2 = 3 inches long.

The new width is calculated as:
Original Width × Dilation Factor = 8 inches × 1/2 = 4 inches wide.

Therefore, Sarah's picture will now measure 3 inches in length and 4 inches in width after the reduction.