Use the image to answer the question.
An illustration shows two concentric rectangles, an outer and an inner rectangle. The length of the outer rectangle shown vertically is labeled as 36. The width labeled horizontally is 24. The distance between the lengths of the outer and inner rectangle is labeled as 4 on the left and right. The distance between the widths of the outer and inner rectangle is labeled as 6 on the top and bottom. The distances are shown using dashed lines.
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.
To find the area of the frame, we need to calculate the total area of the outer rectangle and subtract the area of the inner rectangle.
Area of outer rectangle = length * width = 36 * 24 = 864
Area of inner rectangle = (length - 2*4) * (width- 2*6) = (36-8) * (24-12) = 28 * 12 = 336
Therefore, the area of the frame = Area of outer rectangle - Area of inner rectangle
= 864 - 336 = 528
So, the area of the frame is 528 square units.