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Sagot :
Answer:
The height of the scale drawing of the skyscraper is 16 inches.
The width of the scale drawing of the skyscraper is 13.5 inches.
Explanation:
Given the scale of the model as 1 inch = 40 feet.
Let h represent the height of the scale drawing of the skyscraper. Given the actual height of the skyscraper as 640 feet, we can go ahead and determine h by setting up proportions as shown below;
[tex]\begin{gathered} \frac{1\text{inch}}{40\text{ ft}}=\frac{h\text{ in}}{640ft} \\ h=\frac{640\times1}{40} \\ h=16\text{inches} \end{gathered}[/tex]Let w represent the width of the scale drawing. Given the actual width of the skyscraper as 540 feet, we can go ahead and solve for w by setting up proportions as shown below;
[tex]\begin{gathered} \frac{1in}{40ft}=\frac{w\text{ in}}{540ft} \\ w=\frac{540\times1}{40} \\ w=13.5\text{inches} \end{gathered}[/tex]
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