Answer:
The area of the actual floor is 900 square feet.
The ratio of the area in the drawing to the actual area is 1 square centimeter: 25 square feet.
Explanation:
Find the number of feet represented by 1 centimeter in the scale drawing.
1 cm
5 ft
1 centimeter in the drawing equals 5 feet on the actual floor.
Find the side length of the floor in the scale drawing.
The area of the square in the drawing is 36 square centimeters, so the side length must be 6 cm.
Find the side length of the actual floor represented by 6 cm in the scale model.
1 cm × 6
5 ft × 6
=
6 cm
30 ft
The side length of the actual floor is 30 ft.
Since the area of a square is the side length squared, the area of the actual floor is 900 square feet.
The ratio of the area in the drawing to the actual area is 36 square centimeters:900 square feet.
Simplify the ratio.
The ratio of the area in the drawing to the actual area is 1 square centimeter:25 square feet.