Answer:
The ratio of the area in the drawing to the actual area is 1 square centimeter:4 square feet.
Explanation:
Find the number of feet represented by 1 centimeter in the scale drawing.
1 cm
2 ft
1 centimeter in the drawing equals 2 feet on the actual floor.
Step 2:
Find the side length of the floor in the scale drawing.
The area of the square in the drawing is 64 square centimeters, so the side length must be 8 cm.
Step 3:
Find the side length of the actual floor represented by 8 cm in the scale model.
1 cm × 8
2 ft × 8
=
8 cm
16 ft
The side length of the actual floor is 16 ft.
Step 4:
Since the area of a square is the side length squared, the area of the actual floor is 256 square feet.
Step 5:
The ratio of the area in the drawing to the actual area is 64 square centimeters:256 square feet.
Simplify the ratio.
The ratio of the area in the drawing to the actual area is 1 square centimeter:4 square feet.