A square has a perimeter of 20 cm. The square is enlarged with a scale factor of 4. What is the side length of the new square?
A figure has a perimeter of 15 units. What will the new perimeter be after a dilation with a scale factor of 5?
A figure has a perimeter of 16 units. What will the new perimeter be after a dilation with a scale factor of \large \frac{3}{4}?
To solve this problem, we can follow these steps:
1. Calculate the perimeter of the original square by dividing the total perimeter by the number of sides:
Perimeter = 20 cm / 4 sides = 5 cm
2. Since the new square is enlarged with a scale factor of 4, we can find the side length of the new square by dividing the side length of the original square by the scale factor:
Side length of new square = Side length of original square / Scale factor
Side length of new square = 5 cm / 4 = 1.25 cm
Therefore, the side length of the new square is 1.25 cm.