Question

is rectangle y a scaled copy of rectangle x? what is the scale factor for each pair of sides? rectangle x: 2 cm, 4 cm; rectangle y: 4 cm, 12 cm; side length in rectangle x (cm), side length in rectangle y (cm), scale factor: 4/12 =, 2/4 =

Explanation:

Step1: Calculate scale - factor for length

The scale - factor is found by dividing the length of the corresponding side in Rectangle Y by the length of the side in Rectangle X. For the longer sides, the length in Rectangle X is 4 cm and in Rectangle Y is 12 cm. The scale - factor $k_1=\frac{12}{4}=3$.

Step2: Calculate scale - factor for width

For the shorter sides, the length in Rectangle X is 2 cm and in Rectangle Y is 4 cm. The scale - factor $k_2=\frac{4}{2}=2$.

Since the scale - factors for the length and width are the same (both are 2 for the width and 3 for the length), Rectangle Y is a scaled copy of Rectangle X.

Answer:

The scale - factor for the longer sides is 3 and for the shorter sides is 2. Rectangle Y is a scaled copy of Rectangle X.