Aroom on a scale drawing has the dimensions 8 cm by 12 cm. the scale of the drawing is 2 cm = 3 ft. what are the actual dimensions of the room? a. 5 ft by 8 ft b. 12 ft by 18 ft c. 24 ft by 36 ft

yes the data was not prsented

step-by-step explanation:

combine all like terms then its just a 2 step equation

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3