All angles in the figure below are right angles. What is the area of the figure?
A composite figure with eight sides is shown.· The first side is on the left side of the figure and is vertical. It is labeled with a 5.
· Moving clockwise around the figure, the second side meets the first side at a right angle. This side is at the top of the figure and is horizontal. It is labeled with a 9.
· Moving clockwise around the figure, the third side meets the second side at a right angle. This side is at the right of the figure and is vertical. It is not labeled.
· Moving clockwise around the figure, the fourth side meets the third side at a right angle. This side is at the bottom of the figure and is horizontal. It is labeled with a 4.
· Moving clockwise around the figure, the fifth side meets the fourth side at a right angle. This side indents into the middle of the figure and is vertical. It is labeled with a 3.
· Moving clockwise around the figure, the sixth side meets the fifth side at a right angle. This side is in the middle of the figure and is horizontal. It is not labeled.
· Moving clockwise around the figure, the seventh side meets the sixth side at a right angle. This side indents into the middle of the figure and is vertical. It is not labeled.
· Moving clockwise around the figure, the eighth side meets the seventh side at a right angle. This side is on the bottom of the figure and is horizontal. It is labeled with a 2.
· The eighth side also meets the first side at a right angle to close the shape.
(1 point)
Responses
14
14
18
18
28
28
36
36
To find the area of the figure, we can break it down into smaller rectangles and squares.
The first rectangle has a length of 5 and a width of 9, so its area is 5 * 9 = 45.
The second rectangle has a length of 4 and a width of 3, so its area is 4 * 3 = 12.
The third rectangle has a length of 2 and a width of 3, so its area is 2 * 3 = 6.
Adding up the areas of the three rectangles, we get 45 + 12 + 6 = 63.
Therefore, the area of the figure is 63.
To find the area of the figure, we need to break it down into smaller shapes and then calculate their individual areas.
The figure is composed of three rectangles: one with dimensions 5 by 9, one with dimensions 9 by 4, and one with dimensions 3 by 2.
Starting with the first rectangle (5 by 9), we can calculate its area by multiplying its length and width: 5 * 9 = 45.
Next, we calculate the area of the second rectangle (9 by 4): 9 * 4 = 36.
Lastly, we calculate the area of the third rectangle (3 by 2): 3 * 2 = 6.
Now, to find the total area of the figure, we add the areas of the three rectangles together: 45 + 36 + 6 = 87.
Therefore, the area of the composite figure is 87.