the area of a squar floor on a scale drawing is 100 square centimeters ,and the scale of the drawing is 1cm:2ft.what is the are of the actual floor?what is the ratio of the area in drawing to the actual area?

In the scale drawing,

each side is 10 cm , (10^2 = 100)

if 1 cm ---> 2 ft
then 10 cm ---> 20 ft

area of real floor = 20^2 ft^2 = 400 ft^2

I needed this too, I get almost 4 hour of homework each night so this sped up the process.

Thanks I really needed this answer. I spent the whole night trying to figure out the answer.

To find the area of the actual floor, we need to convert the scale from centimeters to feet. Since the scale is 1cm:2ft, we know that 1 square centimeter in the drawing represents 2 square feet in real life.

To find the actual area of the floor, we need to multiply the area of the drawing by the scale factor, which in this case is 2.

1. Start by finding the actual area of the floor:
Actual area = Area of drawing × Scale factor
= 100 square centimeters × 2 square feet/square centimeter
= 200 square feet

Therefore, the area of the actual floor is 200 square feet.

2. To find the ratio of the area in the drawing to the actual area:
Ratio = Area in drawing : Actual area
= 100 square centimeters : 200 square feet
= 1 : 2 (since 1 square centimeter represents 2 square feet)

So, the ratio of the area in the drawing to the actual area is 1:2.