The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is
1 centimeter:2 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
area is 1 square centimeter:
square feet. The ratio of the area in the drawing to the actual
square feet.

The ratio of the area in the drawing to the actual area is 1 square centimeter:4 square feet.

Step-by-step 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.

step-by-step explanation: