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Answer :
Final answer:
In the concept of scale drawings and ratios, the dimensions of a building with actual measurements of 345 feet by 295 feet, when 1 inch represents 42 feet, converts to approximately 8.21 inches by 7.02 inches on the drawing.
Explanation:
The subject of your question fits into the Mathematics category, and it is based on the concept of scale drawing and ratios. To determine the dimensions of the building on the drawing, we need to create a ratio comparing the scale presented (1 inch represents 42 feet) to the actual dimensions of the building.
To convert the first dimension of the building which is 345 feet into the scale of inches, divide 345 by the 42, which gives approximately 8.21 inches. Next, to convert the second dimension of 295 feet, it is also divided by 42, which equals approximately 7.02 inches. So, the dimensions of the building on the scale drawing would be approximately 8.21 inches by 7.02 inches.
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Answer:
The dimensions of a building on the drawing are
[tex]8\frac{3}{14}\ in\ by\ 7\frac{1}{42}\ in[/tex]
Step-by-step explanation:
we know that
The scale of the drawing is
[tex]\frac{1}{42}\ \frac{in}{ft}[/tex]
That means --->1 inch in the drawing represent 42 feet in the actual
so
using proportion
Part a) Find out the dimension of a building on the drawing if the dimension on the actual is 345 ft
[tex]\frac{1}{42}\ \frac{in}{ft}=\frac{x}{345}\ \frac{in}{ft}\\\\x=\frac{345}{42}\ in\\\\x=\frac{115}{14}\ in[/tex]
Convert to mixed number
[tex]\frac{115}{14}\ in=\frac{112}{14}+\frac{3}{14}=8\frac{3}{14}\ in[/tex]
Part b) Find out the dimension of a building on the drawing if the dimension on the actual is 295 ft
[tex]\frac{1}{42}\ \frac{in}{ft}=\frac{x}{295}\ \frac{in}{ft}\\\\x=\frac{295}{42}\ in[/tex]
Convert to mixed number
[tex]\frac{295}{42}\ in=\frac{294}{42}+\frac{1}{42}=7\frac{1}{42}\ in[/tex]
therefore
The dimensions of a building on the drawing are
[tex]8\frac{3}{14}\ in\ by\ 7\frac{1}{42}\ in[/tex]
