asked 16.1k views
4 votes
Valentina made a scale drawing of a house and its lot. In real life, the porch is 20 feet wide. It is 38 inches wide in the drawing. What is the scale of the drawing?

asked
User Shoter
by
7.9k points

1 Answer

5 votes

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.

answered
User Civa
by
8.2k points
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