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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