a rectangle is 3 inches wide and 4 inches tall, the scale is 1:30. what is the area of square feet in the room

Respuesta :

29.999 sq. feet or 30 sq. feet

Step-by-step explanation:

The thing to remember here is the

  • The conversion factor of Inch into feet
  • Understanding of scale and model
  • Rectangle area

Proceeding with the question

Width of the rectangle=3 inch

Height of the rectangle=4 inch

We know the area (rectangle)= height* width

Area=12 inch ²

We know that scale= sample area/original area

1/30=12/original area of the room

room area= 360 inch ²

Since the final area is needed in sq. feet

We know that 1 inch= 0.08333 feet

Thus 360 inches = 29.999 square feet or 30 square feet (approx.)