Question

Square ABCD has a side length of 4 inches. The square is dilated by a scale factor of 4 to form square A'B'C'D'. What is the side length of square A'B'C'D' ? Type a number for your answer.

Answer 1

We have been given that square ABCD has a side length of 4 inches. The square is dilated by a scale factor of 4 to form square A'B'C'D'. We are asked to find the side length of square A'B'C'D'.

We know that when scale factor is greater than 1, then the resulting figure would be an enlargement.

To find the side length of new square after dilation, we will multiply the original side by scale factor.

`\text{New side length}=\text{Original side}* \text{Scale factor}`

`\text{New side length}=\text{4 inches}* 4`

`\text{New side length}=16\text{ inches}`

Therefore, the side length of square A'B'C'D' would be 16 inches.