Question

A square on the coordinate plane has vertices at (-3,3), (3, 3), 13, has vertices at (-12, 12), (12, 12), (12, -12), and (-12, -12). Find the scale factor and the perimeter of each square.

The perimeter of the original square is ______.

The scale factor is ______.

The perimeter of the image is ______.

a) 36 units
b) 24 units
c) 48 units
d) 72 units

Answer 1

b) 24 units. The perimeter of the original square is 24 units. The scale factor is 2. The perimeter of the image is 48 units.

Step-by-step explanation:

The scale factor is 2, which means that the dimensions of the larger square are twice as long as the dimensions of the original square. The side length of the larger square is 6 (3 x 2) units.

To find the perimeter of the original square, we multiply the side length (6 units) by 4, since the perimeter of a square is the sum of all four sides. So, the perimeter of the original square is 6 x 4 = 24 units.

Similarly, to find the perimeter of the larger square, we multiply the side length (12 units) by 4. So, the perimeter of the larger square is 12 x 4 = 48 units.