Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

The question is lacking multiple-choice answers, below is the complete question:

Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

A. 6 cm by  1.5 cm

B.10 cm by 2 cm

C. 13 cm by 4 cm

D.18 cm by 4.5 cm

E.80 cm by 20 cm

The correct answers are:

A. 6 cm by  1.5 cm

D. 18 cm by 4.5 cm

E. 80 cm by 20 cm

Step-by-step explanation:

A scaled copy of the original rectangle will have different dimensions, but with the same ratio of the dimensions to the original unscaled rectangle. Therefore, to determine the dimensions that are scaled copies of the original rectangle, we have to determine the ratio of the dimension of the original rectangle and also find the ratios of the other rectangles, the ratios that match are scaled copies. This is done as follows:

Rectangle A:

12cm by 3 cm = 12/3 = 4

other rectangles:

A. 6cm by 1.5cm = 6/1.5 = 4

B. 10cm by 2cm = 10/2 = 5

C. 13cm by 4cm = 13/4 = 3.25

D. 18cm by 4.5cm = 18/4.5 = 4

E. 80cm by 20 cm = 80/20 = 4

The rectangles that match the original rectangle are A, D, and E, hence they are scaled copies of the rectangle A

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