Question

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? I have been trying to answer this question forever I missed the dead line my assignment was trying to answer this question can you please help thanks get back to me as soon as you can.

Answer 1

The square root of 64 = 8 cm

1 cm = 2 ft
8 cm = 16 ft

A = 16^2 sq. ft

Answer 2

Step 1:
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.