You design a logo for a marking company. As part of the proposal, you submit a scale drawing of the logo.

The scale drawing is a parallelogram with a base of 8 inches, a height of 3 inches, and a side length of 4 inches.

The scale drawing has a scale factor of 4 : 1. What is the perimeter, actual inches, of the actual logo?

Respuesta :

The perimeter of the actual logo in inches whose base is 8 inches, height is 3 inches, and side length is 4 inches be,

Perimeter= 6 inches

What is scale factor?

A scale factor is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

The scale drawing of parallelogram having dimensions,

  • length= 8 inches,
  • height= 3 inches
  • side length= 3 inches

Perimeter of scale drawing of parallelogram be,

= 2 ( length + side length)

= 2( 8 + 4 )

= 2 x 12

= 24 inches

The drawing has a scale of 4: 1 (Here 4 represent for scale diagram and 1 represent for the actual diagram)

As scale factor,=  [tex]\frac{Perimeter \;of\; Scale\; logo}{Perimeter \;of \;Actual\; logo}[/tex]

[tex]\frac{4}{1} = \frac{24}{Perimeter\; of \; Actual\; logo}[/tex]

Perimeter of Actual logo =[tex]\frac{24}{4}[/tex]

                                         = 6 inches

Hence, the perimeter of Actual logo is 6 inches.

Learn more about scale factor here:

https://brainly.com/question/22312172

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