Fabian used a ratio table to show the original dimensions of a rectangle and the dimensions when the rectangle is changed by a scale factor. He forgot to enter the length of the new rectangle.

Scale factor
1
2.5
Width
6
15
Length
9


Which length is missing from Fabian’s table?
3.6
11.5
21.6
22.5

Respuesta :

Answer:

Step-by-step explanation:

11.5

Answer:

Option D.

Step-by-step explanation:

The given table is

Scale factor      Width              Length

1                            6                     9

2.5                       15                     -

We need to find the length of new rectangle.

Let x be the length of new rectangle.

[tex]\frac{x}{9}=\frac{2.5}{1}[/tex]

On cross multiplication we get

[tex]x\times 1=2.5\times 9[/tex]

[tex]x=22.5[/tex]

The length of new rectangle is 22.5 units.

Therefore, the correct option is D.