Question

The area of a square floor on a scale drawing is 81 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? The area of the actual floor is square feet. The ratio of the area in the drawing to the actual area is 1 square centimeter: square feet.

Answer 1

The area of a square floor on a scale drawing is 81 square centimeters, and the scale drawing is 1 centimeter:2 ft. 
so the original area is
A = 81 sq cm ( 2 ft / 1 cm)^2a = 324 sq ft
so the ratio of the ratio the area in the drawing to the actual area  is:
r = 81 sq cm / 324 sq ftr = 1 sq cm / 4 sq ft1 sq cm : 4 sq ft