Question

The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

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.