The area of a square floor on a scale drawing is 100 square centimeters and the scale of the drawing is 1 centimeter:2ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

The square root of 100 is 10. The drawing must be 10 cm by 10 cm.

1 cm = 2 ft, so 10 cm must equal 20 feet.

20 * 20 = 400 square feet

Your correct

I don't really understand.

The area of the actual floor is 400 square feet. The ratio of the area in the drawing to the actual area is 1 square centimeter: 20 square feet.

I don't even know

To find the area of the actual floor, we need to convert the scale from centimeters to feet and then use the scale factor to determine the actual area.

Step 1: Convert the scale from centimeters to feet.
Since the scale is 1 centimeter:2 feet, we need to convert the scale to feet. Since there are 30.48 centimeters in a foot, we divide 30.48 by 2 to get 15.24 centimeters per foot.

Step 2: Calculate the scale factor.
To find the scale factor, we divide the size of the actual object by the size in the drawing. In this case, the size of the actual square floor is x and the size in the drawing is 100 square centimeters. Therefore, the scale factor is x/100.

Step 3: Calculate the actual area.
The actual area of the floor is equal to the scale factor multiplied by the area in the drawing. So, the actual area is (x/100) * 100 square centimeters.

Step 4: Simplify the equation.
The 100 square centimeters cancel out, leaving us with the equation x = x/100.

Step 5: Solve for x.
To solve for x, we can multiply both sides of the equation by 100 to eliminate the fractions. This gives us 100x = x.

Step 6: Solve for x.
Dividing both sides of the equation by x, we get 100 = 1.

Therefore, the area of the actual floor is 100 square feet, and the ratio of the area in the drawing to the actual area is 1:1.