Question

How would I find the area of a scale drawing with a 1 in to 10 ft ratio? The Northside is 50, the East is 35, the South is 71, and the West is 28.

A. 1,435 sq ft
B. 1,280 sq ft
C. 1,645 sq ft
D. 1,190 sq ft

Answer 1

To find the area of a scale drawing, multiply the dimensions by the scale factor and then multiply the length and width of the actual dimensions to find the area.

Thus, the correct option is A.

Step-by-step explanation:

To find the area of a scale drawing, we need to use the ratio of the scale factor. In this case, the scale is 1 inch to 10 feet. So, we need to multiply the lengths of the sides of the scale drawing by the scale factor to get the actual dimensions. Then, we can find the area by multiplying the length and width of the actual dimensions.

Using the given measurements, the Northside is 50, the East is 35, the South is 71, and the West is 28. First, we need to convert these measurements to their actual dimensions by multiplying them by the scale factor of 10 feet. The new dimensions are: Northside = 500 ft, East = 350 ft, South = 710 ft, and West = 280 ft. Now, we can find the area by multiplying the length and width: 500 ft * 350 ft = 175,000 sq ft.

Therefore, the correct answer is A. 1,435 sq ft.