Constantinos is painting a rectangular outline of a frame on the wall, leaving the area inside unpainted. He wants the outside of the frame to be 9 ft. wide by 12 ft. tall. The inside of the frame will be 6 ft. wide by 10 ft. tall. Calculate the area of the frame.(1 point)

Question

Responses

168 ft2
168 ft squared

108 ft2
108 ft squared

48 ft2
48 ft squared

60 ft2

Answer 1

To calculate the area of the frame, we first need to find the area of the outer rectangle (the outside of the frame) and the area of the inner rectangle (the unpainted area inside the frame).

1. Calculate the area of the outer rectangle:

   • Width = 9 ft
   • Height = 12 ft
   • Area (outer) = width × height = 9 ft × 12 ft = 108 ft²

2. Calculate the area of the inner rectangle:

   • Width = 6 ft
   • Height = 10 ft
   • Area (inner) = width × height = 6 ft × 10 ft = 60 ft²

3. Calculate the area of the frame:

   • Area (frame) = Area (outer) - Area (inner) = 108 ft² - 60 ft² = 48 ft²

Therefore, the area of the frame is 48 ft².