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

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:

step 1

Find the length of the square floor on a scale drawing

Let

b-----> the length side of the square floor on a scale drawing

we know that

we have

step 2

Find the length of the square floor in the actual floor

we know that

the scale drawing is

so

the length of the square floor in the actual floor is equal to

step 3

Find the area of the actual floor

step 4

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

simplify

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w