Julie is constructing a scale model of her room. the rectangular room is 10 1/4 inches by 8 inches. if 1 inch represents 2 feet of the actual room, what is the scale factor and the actual area of the room?

328 square feet.

Step-by-step explanation:

Julie is constructing a scale model of her room.

The model of the rectangular room is  inches by 8 inches.

The scale factor of the model is 1 inch = 2 feet.

The actual length of the room = × 2

                                                  = × 2

                                                  =

                                                  = feet

                                                  = 20.5 feet

The actual width of the room = 8 × 2

                                                = 16 feet.

The actual size of the room is 20.5 feet by 16 feet.

Area = Length × width

Area of the room = 20.5 × 16

                             = 328 feet²

actual area 328 square feet and scale factor is 1 inch = 2 feet.

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: