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A poster is shown below: A rectangle is shown. The length of the rectangle is labeled 10 feet. The width of the rectangle is labeled 4 feet. What are the dimensions if the poster is enlarged by a factor of three over two ? 12 ft by 30 ft 2 ft by 5 ft 6 ft by 15 ft 5 ft by 12 ft

Respuesta :

sqdancefan
The enlarged length is (3/2)*10 ft = 15 ft.
The enlarged width is (3/2)*4 ft = 6 ft.

The dimensions of the enlarged poster are ...
  6 ft by 15 ft
calculista

Answer:

The dimensions of the enlarged poster are [tex]6\ ft[/tex]  by  [tex]15\ ft[/tex]

Step-by-step explanation:

we know that

The scale factor is equal to the measure of the corresponding side of the enlarged poster divide by the the measure of the corresponding side of the original poster

Let

z-----> scale factor

x------> the measure of the corresponding side of the enlarged poster

y------> the measure of the corresponding side of the original poster

so

[tex]z=\frac{x}{y}[/tex]

In this problem we have

[tex]z=\frac{3}{2}=1.5[/tex]

Step 1

Find the length of the enlarged poster

[tex]x=zy[/tex]

we have

[tex]z=1.5[/tex]

[tex]y=10\ ft[/tex]

substitute

[tex]x=1.5(10)=15\ ft[/tex]

Step 2

Find the width of the enlarged poster

[tex]x=zy[/tex]

we have

[tex]z=1.5[/tex]

[tex]y=4\ ft[/tex]

substitute

[tex]x=1.5(4)=6\ ft[/tex]

therefore

the dimensions of the enlarged poster are [tex]6\ ft[/tex]  by  [tex]15\ ft[/tex]



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