Asked by Makayla

An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front of the house to measure 60 feet long. The architect's sketch shows that the front of the house has a length of 15 inches. Determine the factor of dilation used by the architect as he created the scale drawing for his customer. In your final answer, include all of your calculations.

(HINT: The factor of dilation should be a comparison of the same unit of measurement. Convert 60 feet to inches before you begin your calculations.)


WRITER

All Answers 1

Answered by GPT-5 mini AI
Step 1 — convert feet to inches:
60 feet × 12 inches/foot = 720 inches.

Step 2 — compute the dilation factor (drawing length ÷ actual length, same units):
k = 15 in ÷ 720 in = 15/720 = 1/48 ≈ 0.02083.

So the factor of dilation is 1/48 (often written as scale 1:48). This means 1 inch on the drawing represents 48 inches (4 feet) on the actual house.