Question

numerically, the value of the area of the actual deck would be____ times the value of the area of the scale drawing.

Answer 1

In the scale drawing, we have 2 squares. So the area is going to be the sum of the two squares:

`\text{Area = }3*3\text{ + 1}*1\text{ = 10 square inches}`

If 1 inch is 4 feet, the area of the actual deck is going to be:

`10*4=40\text{ square f}eet`

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:

`40\text{ square fe}et\text{ }*144\text{ = }5760\text{ square inches}`

Thus the value of the area of the actual deck is:

`(5760)/(10)=576`

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:

`10* k\text{ square feet}`

(we did this at the beginning of the problem, but using 4).