Question

The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:4 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area? The area of the actual floor is square feet. The ratio of the area in the drawing to the actual area is 1 square centimeter: square feet.

Answer 1

Answer:

1. 784 ft²
2. 1 cm² : 16 ft²

Step-by-step explanation:

Since we need the ratio of drawing area to floor area to figure the actual floor area, it is convenient to answer the questions in reverse order.

The ratio of drawing area to actual area is ...

... ((1 cm)/(4 ft))² = (1 cm²)/(16 ft²)

____

Then the actual floor area is ...

... (16 ft²)/(1 cm²) = actual area/(49 cm²)

Multiplying by 49 cm² gives ...

... (16 ft²)*49/1 = actual area = 784 ft²