Question

Pedro is building a model of his classroom. The model has a rectangular base. His model is 12 inches long and 9 inches wide. The scale on the model is 1 inch = 3.5 feet. What is the actual area, in square feet, of the classroom?

Answer 1

To find the actual area of Pedro's classroom, convert the model's dimensions from inches to feet using the scale factor and then multiply the length by the width. The classroom's actual area is 1323 square feet.

Step-by-step explanation:

Pedro's model classroom has a scale factor of 1 inch to 3.5 feet. To find the actual area of his classroom, you must first convert the model's dimensions to feet. The length of the model is 12 inches, which when multiplied by the scale factor (12 inches × 3.5 feet/inch), equals 42 feet. The width of the model is 9 inches, which equates to 31.5 feet (9 inches × 3.5 feet/inch). Now, to calculate the actual area, multiply the actual length and width in feet: 42 feet × 31.5 feet = 1323 square feet. Therefore, the actual area of Pedro's classroom is 1323 square feet.