The largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'
Scale drawing
Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension
Dimensions
The dimensions of the design for the farm scene painting is given as:
[tex]12" \times 9"[/tex]
The dimensions of the wall is given as:
[tex]24' \times 16'[/tex]
Convert feet to inches
[tex]24' \times 16' = (24 \times 12") \times (16 \times 12")[/tex]
[tex]24' \times 16' = (288") \times (192")[/tex]
Divide the dimensions of the wall by the painting to get the scale ratios (k)
[tex]k = \frac{288}{12}[/tex]
[tex]k = 24[/tex]
Also, we have:
[tex]k =\frac{192}{9}[/tex]
[tex]k =21.33[/tex]
Remove decimal (do not approximate)
[tex]k =21[/tex]
By comparison;
21 is less than 24
Multiply 21 by the dimensions of the painting
So, we have:
[tex]Length = 12 \times 21 = 252[/tex]
[tex]Width = 9 \times 21 = 189[/tex]
Hence, the largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'
Read more about scale drawings at:
https://brainly.com/question/810373
