Question

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.

(1 point)
Responses

864 square units
864 square units

576 square units
576 square units

480 square units
480 square units

288 square units

Answer 1

[AI-generated answer — Bot GPT 3.5]

The area of the frame can be calculated by finding the area of the outer rectangle and subtracting the area of the inner rectangle.

Area of outer rectangle = 36 * 24 = 864 square units
Area of inner rectangle = (36-2*4) * (24-2*6) = 28 * 12 = 336 square units

Area of the frame = 864 - 336 = 528 square units

Therefore, the correct response is:
576 square units