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

Respuesta :

Answer:

A

Step-by-step explanation:

The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are:

A. 6cm by 1.5cm because

D. 18cm by 4.5cm because

E. 80cm by 20cm because

Given that

[tex]Length = 12cm[/tex]

[tex]Width = 3cm[/tex]

Divide the length and the width of the rectangle

[tex]k = Length \div Width[/tex]

[tex]k = 12cm \div 3cm[/tex]

[tex]k = 4[/tex]

This means that a scaled copy of rectangle A must have a value of 4 when the dimensions are divided.

Possible rectangles are:

A. 6cm by 1.5cm because [tex]6cm \div 1.5cm = 4[/tex]

D. 18cm by 4.5cm because [tex]18cm \div 4.5cm = 4[/tex]

E. 80cm by 20cm because [tex]80cm \div 20cm = 4[/tex]

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