Use the image to answer the question.
Height is 36 area is 23
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
288 square units
288 square units
864 square units
864 square units
480 square units
If the area of the frame is 24 square units, then we can calculate the area of the larger rectangle formed by the outer edges of the frame by dividing the area by the height to get the width.
24 / 36 = 0.6667 (approx.)
Then, we can calculate the total area of the frame by finding the area of the larger rectangle and subtracting the area of the inner rectangle:
(36 x 0.6667) x 36 = 24
24 - 24 = 0
Therefore, the area of the frame would be 0 square units.
Use the image to answer the question.
Height = 36 Area = 24
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
288 square units
288 square units
864 square units
864 square units
480 square units
The area of the frame can be calculated by finding the area of the larger rectangle formed by the outer edges of the frame (36 x 23 = 828) and then subtracting the area of the inner rectangle (26 x 13 = 338).
828 - 338 = 490
Therefore, the area of the frame is 490 square units.
None of the given options match exactly, but the closest one is 480 square units.
Area is 24 I mea
If the height of the frame is 36 and the area is 24, then we can calculate the width of the frame by dividing the area by the height:
Width = Area / Height
Width = 24 / 36
Width ≈ 0.6667
Now, we can calculate the total area of the frame by finding the area of the larger rectangle formed by the outer edges of the frame and then subtracting the area of the inner rectangle:
Total area = (36 x 0.6667) x 36 - 24
Total area = 24 x 36 - 24
Total area = 864 - 24
Total area = 840 square units
Therefore, the area of the frame is 840 square units, and the closest option provided is 864 square units.