On a set of blueprints, the scale is 1/2 inch = 4 feet. Find the actual length of a room that measures 2.8 inches on the blueprint. Show work.

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Answer: The actual length of a room that measures 2.8 inches on the blueprint will be 22.4 feet.

Step-by-step explanation:

We are given that ,

On a set of blueprints, the scale is [tex]\dfrac{1}{2}\text{inch= 4 feet}[/tex]

Multiply 2 both sides , we get

Then, [tex]\text{1 inch = }2\times4=8\text{ feet}[/tex]

[tex]\Rightarrow\ \text{2.8 inch = }2.8\times 8\text{ feet}[/tex]

[tex]\Rightarrow\ \text{2.8 inch = }22.4\text{ feet}[/tex]

Then, the actual length of a room that measures 2.8 inches on the blueprint.  will be 22.4 feet.

Hence, the correct answer is 22.4 feet.

The actual length of the room is 22.40 feet.

A scale drawing is smaller image of another image reduced by constant dimensions.  

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

The scale of the blueprints = 1/2 inch : 4 feet

The actual length = (2.8 inches x 4 feet) ÷ 1/2 = 22.40 feet.

To learn more about scale drawings, please check: brainly.com/question/980463