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use the scale factor to compare the perimeter and area of the original figure of the enlarged figure. Complete the statements about the relationship
between the two figures.
The scale factor is
The perimeter of the enlarged rectangle can be found
by multiplying the scale factor and the original
perimeter to get
7 times the area of the
The area of the scale model is
original figure.​

use the scale factor to compare the perimeter and area of the original figure of the enlarged figure Complete the statements about the relationshipbetween the t class=

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calculista

Answer:

Part 1) The scale factor is 2

Part 2) The perimeter of the enlarged rectangle is 19 units

Part 3) The area of the enlarged rectangle is 19.5 square units (the area of the enlarged rectangle is 4 times the area of the original rectangle)

Step-by-step explanation:

we know that

A dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeter is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

step 1

Find the scale factor

Let

z ---> the scale factor

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

step 2

Find the perimeter of the enlarged rectangle

Multiply the perimeter of the original rectangle by the scale factor

The perimeter of the original rectangle is

[tex]P=2(1.5+3.25)=9.5\ units[/tex]

so

The perimeter of the enlarged rectangle is

[tex]9.5(2)=19\ units[/tex]

step 3

Find the area of the enlarged rectangle

Multiply the area of the original rectangle by the scale factor squared

The area of the original rectangle is

[tex]A=(1.5)(3.25)=4.875\ units^2[/tex]

so

The area of the enlarged rectangle is

[tex]4.875(2^2)=19.5\ units^2[/tex]

The area of the enlarged rectangle is 4 times the area of the original rectangle

step 4

Find the value of b

Multiply the corresponding side of the original rectangle by the scale factor

[tex]b=3.25(2)=6.50\ units[/tex]

Verify the perimeter of the enlarged rectangle

[tex]P=2(3+6.50)=19\ units[/tex] ----> is ok

Verify the area of the enlarged rectangle

[tex]A=3(6.50)=19.5\ units^2[/tex] ---> is ok

By using the use the scale factor to compare the perimeter and area of the original figure the results are given below;

The scale factor is 2.

The perimeter of the enlarged rectangle can be found by multiplying the scale factor and the original perimeter to get  7 times the area of the is 19 units.

The area of the scale model in the original figure is 4.87 units.

Given that,

The scale factor to compare the perimeter and area of the original figure of the enlarged figure.

We have to complete the statements

About the relationship between the two figures.

The scale factor is.

The perimeter of the enlarged rectangle can be found  by multiplying the scale factor and the original  perimeter to get  7 times the area of the

The area of the scale model is the original figure.​

According to the question,

The scale factor to compare the perimeter and area of the original figure of the enlarged figure.

The required factor about the scale factor is determined by using the formula of scale factor and perimeter given below following all the steps given below.

The scale factor is a measure by which the size of any geometrical figure could be varied with respect to its original shape.

1. The scale factor is,

[tex]\rm Scale \ factor = \dfrac{New \ length }{Original \ length}\\\\Scale\ factor = \dfrac{3}{1.5}\\\\Scale \ factor = 2[/tex]

The scale factor is 2.

2. The perimeter of the enlarged rectangle is

The perimeter of the enlarged rectangle can be found  by multiplying the scale factor and the original  perimeter to get  7 times the area of the is,

[tex]\rm Perimeter = 2(length\times width)\\\\Perimeter = 2(1.5+3.25)\\\\Perimeter = 2(4.75)\\\\Perimeter = 9.50 \ unit[/tex]

The perimeter of the enlarged rectangle is

[tex]= 2\times 9.50 = 19 \ \rm units[/tex]

The perimeter of the enlarged rectangle can be found by multiplying the scale factor and the original perimeter to get  7 times the area of the is 19 units.

3. The area of the scale model is  the original figure is,

Multiply the area of the original rectangle by the scale factor squared

The area of the original rectangle is,

[tex]\rm Area = 1.5 \times 3.25\\\\Area = 4.87 \ units[/tex]

The area of the scale model in the original figure is 4.87 units.

To know more about Scale Factor click the link given below.

https://brainly.com/question/8147174

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