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
.

Group of answer choices

6 cm by 1.5 cm

10 cm by 2 cm

13 cm by 4 cm

18 cm by 4.5 cm

80 cm by 20 cm

Respuesta :

Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.

For us to get a scale copy of the dimension, we need to first find the scale factor as shown;

Given the measure of rectangle A:

  • Length= 12cm
  • Width = 3cm

To get all of the measurement pairs that could be the dimensions of Rectangle  B, we need to multiply the length and width by the same factor

Multiplying by 1/2

New length = 12 × 0.5 = 6cm

New width = 3 × 0.5 = 1.5cm

Hence 6cm by 1.5cm can be dimension of B

Multiplying by 1.5

New length = 12 × 1.5 = 18cm

New width = 3 × 1.5 = 4.5cm

Hence 18cm by 4.5cm can be dimension of B

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