Question

The area of a square floor on a scale drawing is 36 square centimeters, and the scale drawing is 1 centimeter:4 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answer 1

Because the area in the drawing is 36 cm^2, one side length is 6 cm.
On the actual floor, this equates to 24 ft.
This means the area of the floor in real life is 576 square feet.

Therefore the ratio is 36 square centimetres : 576 square feet.

This is the same as 1 square centimetre : 16 square feet.