The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter: 3 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.

Part a) The area of the actual floor is

Part b) The ratio of the area in the drawing to the actual area is

Step-by-step explanation:

we know that

The scale drawing is

step 1

Find the dimensions of the square on a scale drawing

The area of a square is equal to

where

b is the length side of the square

so

step 2

Find the dimensions of the actual floor

Divide the length of the floor on the drawing by the scale drawing

step 3

Find the area of the actual floor

The area of a square is equal to

substitute

step 4

Find the ratio of the area in the drawing to the actual area

Simplify

Divide by 64 both numerator and denominator

ci

step-by-step explanation: