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
480
480
288
288
864
864
576
576
1 answer
The area of the frame can be found by subtracting the area of the inner rectangle from the area of the outer rectangle. The area of the outer rectangle is 36 x 24 = 864. The area of the inner rectangle can be found by subtracting the gaps on each side: (24-2x4) x (36-2x6) = 16 x 24 = 384. Therefore, the area of the frame is 864 - 384 = 480. So, the answer is option A. 480.
3 answers