A picture framer is painting the front of a picture frame. What is the area of the frame? Assume all segments that look congruent and all angles that look like right angles are right angles.
6 top / bottom height
36 overall height
4 side width
24 Overall width
Answers:
480 square inches
864 square inches
288 square inches
576 square inches
To find the area of the frame, we first need to find the area of the entire rectangle and then subtract the area of the picture itself.
The area of the entire rectangle can be calculated by multiplying the overall height by the overall width:
Area of rectangle = 36 x 24 = 864 square inches.
Now, we need to find the area of the picture. The picture is smaller than the frame on all sides by 2 inches (4 inches on the sides and 6 inches on the top and bottom). So, the height of the picture is 36 - 2(6) = 24 inches and the width of the picture is 24 - 2(4) = 16 inches.
Area of the picture = 24 x 16 = 384 square inches.
Therefore, the area of the frame is:
864 - 384 = 480 square inches.
So the correct answer is: 480 square inches.