A picture framer is painting the front of a picture frame. What is the area of the frame? Assume that all segments that look congruent are congruent and all angles that look like right angles are right angles.
In order to calculate the area of the frame, we first need to determine the dimensions of the frame. Let's assume that the picture inside the frame has dimensions of 8 inches by 10 inches.
Next, we'll need to determine the width of the frame. From the picture, it looks like the frame has a uniform width all around the picture. Let's assume that the width of the frame is 1 inch.
Therefore, the overall dimensions of the frame will be 10 inches + 2(1 inch) by 8 inches + 2(1 inch), or 12 inches by 10 inches.
To calculate the area of the frame, we need to subtract the area of the picture from the area of the overall frame. The area of the picture is 8 inches * 10 inches = 80 square inches.
The area of the frame can be calculated as (12 inches * 10 inches) - (8 inches * 10 inches) = 120 square inches - 80 square inches = 40 square inches.
Therefore, the area of the frame is 40 square inches.