In the scale drawing, we have 2 squares. So the area is going to be the sum of the two squares:
[tex]\text{Area = }3\times3\text{ + 1}\times1\text{ = 10 square inches}[/tex]
If 1 inch is 4 feet, the area of the actual deck is going to be:
[tex]10\times4=40\text{ square f}eet[/tex]
Now we can transform square feet to square inches to see how many times they are multiplicated. To do this, multiplicate square feet by 144:
[tex]40\text{ square fe}et\text{ }\times144\text{ = }5760\text{ square inches}[/tex]
Thus the value of the area of the actual deck is:
[tex]\frac{5760}{10}=576[/tex]
576 times the value of the area on the scale drawing.
Based on the results, if the scale is 1 inch = k feet, the area of the actual deck would be:
[tex]10\times k\text{ square feet}[/tex]
(we did this at the beginning of the problem, but using 4).
