Question

A scale for a skyscraper blueprint is 1 inch = 40 feet. The height of theskyscraper is 640 feet and the width is 540 feet. What are the height andwidth in inches of the scale drawing of the skyscraper

Answer 1

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.

Step-by-step 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;

`\begin{gathered} \frac{1\text{inch}}{40\text{ ft}}=\frac{h\text{ in}}{640ft} \\ h=(640*1)/(40) \\ h=16\text{inches} \end{gathered}`

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;

`\begin{gathered} (1in)/(40ft)=\frac{w\text{ in}}{540ft} \\ w=(540*1)/(40) \\ w=13.5\text{inches} \end{gathered}`