Theo 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 8 ft. wide by 15 ft. tall. The inside of the frame will be 4 ft. wide by 7 ft. tall. Calculate the area of the frame (just the outside painted area).

Question

(1 point)
Responses

28 square feet
28 square feet

120 square feet
120 square feet

92 square feet
92 square feet

148 square feet

Answer 1

To calculate the area of the frame, we need to find the area of the outer rectangle and subtract the area of the inner rectangle.

1. Calculate the area of the outer rectangle:

   • Width = 8 ft
   • Height = 15 ft
   • Area = Width × Height = 8 ft × 15 ft = 120 square feet

2. Calculate the area of the inner rectangle:

   • Width = 4 ft
   • Height = 7 ft
   • Area = Width × Height = 4 ft × 7 ft = 28 square feet

3. Calculate the area of the frame:

   • Area of frame = Area of outer rectangle - Area of inner rectangle
   • Area of frame = 120 square feet - 28 square feet = 92 square feet

Thus, the area of the frame is 92 square feet.