Question

Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?

A) 1 inch to 20 feet
B) 1 inch to 15 feet
C) 1 inch to 12 feet
D) 1 inch to 9 feet

Answer 1

The scale of the drawing is 1 inch to 9 feet.

Step-by-step explanation:

To find the scale of the drawing, we need to compare the area of the house on the scale drawing to the actual area of the house. The area of the house on the scale drawing is given as 25 square inches, and the actual area of the house is 2,025 square feet. We can set up a proportion to find the scale:

Representation: Scale drawing area / Actual area = Scale factor ^ 2

25 / 2025 = Scale factor ^ 2

Simplifying the fraction on the left side gives 1/81, so:

1/81 = Scale factor ^ 2

Taking the square root of both sides gives:

Scale factor = 1 / 9

Therefore, the scale of the drawing is 1 inch to 9 feet. So, the correct answer is (D) 1 inch to 9 feet.