Answer:Therefore, the scale of the drawing is 1 inch : 3.166 feet.
Explanation:
To find the scale of the drawing, we need to determine the ratio of the size of the porch in the drawing to its actual size.
First, we need to convert 38 inches to feet:
38 inches ÷ 12 inches/foot = 3.1667 feet
Next, we can set up a proportion:
drawing size / actual size = scale factor
Let x be the scale factor. Then:
x / 20 feet = 3.1667 feet / 20 feet
Simplifying the right side:
3.1667 feet / 20 feet = 0.1583
Multiplying both sides by 20 feet:
x = 0.1583 × 20 feet
x = 3.166 feet
Therefore, the scale of the drawing is 1 inch : 3.166 feet.