Use the image to answer the question.

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.

(1 point)
Responses

864 square units
864 square units

480 square units
480 square units

288 square units
288 square units

576 square units
576 square units
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Answer 1

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

The outer rectangle has a length of 36 and a width of 24. So, the area of the outer rectangle is 36 * 24 = 864 square units.

The inner rectangle has a length of 36 - 2 * 4 = 28 and a width of 24 - 2 * 6 = 12. So, the area of the inner rectangle is 28 * 12 = 336 square units.

Therefore, the area of the frame is 864 - 336 = 528 square units.

So, the correct answer is not listed, but the closest answer is 576 square units.