A room 24'-0" x 22'-6" requires square feet of ceiling tile and square yards of carpet. (1 square yard = 9 square feet; 3' x 3' = 9')

540 ft² ; 60 yd²

Step-by-step explanation:

1 square yard = 9 ft²

Dimension of room:

24ft 0in by 22ft 6in

1 in = 1/12 ft

6in = (1/12) * 6 ft = 0.5 feet

Hence, Dimension of room in feet ;

24ft by 22.5 ft ;

Square feet of ceiling tiles; (24 * 22.5)ft² = 540ft²

Square yards of carpet needed :

1 yd² = 9 ft²

Let yd² of carpet needed = x

1 yd² = 9 ft²

x yd² = 540 ft²

Cross multiply ;

9x = 540

x = 540 / 9

x = 60

Hence, 60yd² of carpet is needed

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)