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
A. 864 square units
B. 576 square units
C. 480 square units
D. 288 square units
A. 864 square units
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 area of the outer rectangle is:
Length x Width = 36 x 24 = 864 square units
The area of the inner rectangle is:
(36-8) x (24-12) = 28 x 12 = 336 square units
Therefore, the area of the frame is:
864 - 336 = 528 square units
So, option A (864 square units) is the correct answer.