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The original scale factor for a scale drawing of a house plan is 1/80 , and the length of the original scale drawing is
12 inches. What is the length of a new scale drawing if the scale factor of the new scale drawing to actual length
of the house is 1/180?

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The original scale factor for a scale drawing of a house plan is 1/80 , and the length of the original scale drawing is 12 inches. What is the length of a new s class=

Answer :

calculista

Answer:

[tex]5\frac{1}{3}\ in[/tex]

Step-by-step explanation:

we know that

The original scale factor is 1/80

That means

1 unit in the drawing represent 80 units in the actual

or

1 inch in the drawing represent 80 inches in the actual

step 1

Find the actual length with the original scale  

using proportion

[tex]\frac{1}{80}=\frac{12}{x}\\\\x=80(12)\\\\x= 960\ in[/tex]

step 2

The new scale drawing is

[tex]\frac{1}{180}[/tex]

That means

1 unit in the drawing represent 180 units in the actual

or

1 inch in the drawing represent 180 inches in the actual

step 3

Find the length of a new scale drawing  

using proportion

[tex]\frac{1}{180}=\frac{x}{960}\\\\x=960/180\\\\x= 5.33\ in[/tex]

Convert to mixed number

[tex]5.33\ in=5\frac{1}{3}\ in[/tex]

The actual length of the house if the scale is 1/80 is = 5 1/3 inches

What is a scale drawing?

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Scale of the drawing =  dimensions of the scale drawing / dimensions of the original image.

Actual length when the scale was 1/80 = 80 x 12 = 960 inches

Actual length when the scale was 1/180 = 960 / 180 = 5 1/3 inches

To learn more about scale drawings, please check: https://brainly.com/question/26388230

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