Jessie has a piece of cardboard that is 8.5 inches by 11 inches. She makes a picture frame with the cardboard by cutting out a 4 inch by 4 inch square from the center of the cardboard. What is the are of the frame?
8.5 * 11 - 16
=16 inches squared
To find the area of the frame, we need to determine the area of the entire piece of cardboard and subtract the area of the square cut out from the center.
The area of the cardboard is found by multiplying its length by its width. In this case, the cardboard measures 8.5 inches by 11 inches, so the area would be:
Area of cardboard = length × width = 8.5 inches × 11 inches = 93.5 square inches.
Next, let's calculate the area of the square that was cut out. Since the square measures 4 inches by 4 inches, its area is:
Area of square = length × width = 4 inches × 4 inches = 16 square inches.
Finally, we find the area of the frame by subtracting the area of the cut-out square from the area of the cardboard:
Area of frame = Area of cardboard - Area of square = 93.5 square inches - 16 square inches = 77.5 square inches.
Therefore, the area of the frame is 77.5 square inches.