Question

Carlos is drawing plans for a new shopping center. The scale states 1/2 in = 5 ft. On the drawing, the front of the shopping center is 18 1/2 inches. What is the actual length of the front of the shopping center?

Answer 1

The actual length of the front of the shopping center is 92 1/2 feet.

Step-by-step explanation:

To find the actual length of the front of the shopping center, we need to use the given scale. The scale states that 1/2 inch on the drawing represents 5 feet in real life. Since the front of the shopping center is 18 1/2 inches on the drawing, we can set up a proportion to find the actual length:

1/2 inch = 5 feet
18 1/2 inches = x feet

To solve the proportion, we can cross-multiply and divide:

(1/2 inch)(x feet) = (5 feet)(18 1/2 inches)
x = (5)(18 1/2) = 92 1/2 feet

Therefore, the actual length of the front of the shopping center is 92 1/2 feet.