Question

The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answer 1

the area of the actual floor is 784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

Explanation:

The computation of the area and the ratio of the area is shown below:

The ratio of the drawing area to the actual area is

= ((1 cm) ÷ (4 ft))²

= (1 cm²) ÷ (16 ft²)

Now the actual floor area is

(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)

= (16 ft²) × 49 ÷ 1

= 784 ft²

hence, the area of the actual floor is 784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant