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

576 square units
576 square units

864 square units
864 square units

480 square units
480 square units

288 square units

Answer 1

To find the area of the frame, we need to subtract the area of the inner rectangle from the area of the outer rectangle.

Area of outer rectangle = length x width = 36 x 24 = 864 square units
Area of inner rectangle = (36-8) x (24-12) = 28 x 12 = 336 square units

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

Therefore, the correct answer is:
480 square units