What is the area of the figure?
An irregular figure is shown. Starting from the bottom left corner of the figure, the outline of the figure moves up 8 inches, to the right 4 inches, down 4 inches, to the right 4 inches, down 4 inches, and to the left 8 inches to end at the starting point.
A.
108 square inches
B.
64 square inches
C.
48 square inches
D.
32 square inches
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To find the area of the figure, we need to divide it into simpler shapes and then calculate the area of each shape separately. Let's break down the figure into multiple rectangles.
Starting from the bottom left corner, we move up 8 inches, right 4 inches, down 4 inches, right 4 inches, down 4 inches, and left 8 inches to end at the starting point.
First, we have a rectangle that is 8 inches wide and 4 inches high. The area of this rectangle is 8 inches x 4 inches = 32 square inches.
Next, we have another rectangle that is 4 inches wide and 4 inches high. The area of this rectangle is 4 inches x 4 inches = 16 square inches.
Finally, we have a third rectangle that is 8 inches wide and 4 inches high. The area of this rectangle is 8 inches x 4 inches = 32 square inches.
Now, we add up the areas of all the rectangles: 32 square inches + 16 square inches + 32 square inches = 80 square inches.
Therefore, the correct answer is not provided in the options given.
To find the area of the figure, we need to divide it into simpler shapes and calculate the area of each shape separately.
First, let's find the area of the rectangular shape on the left side.
Height = 8 inches
Width = 4 inches
Area of the left rectangular shape = Height * Width = 8 * 4 = 32 square inches
Next, let's find the area of the two triangular shapes on the right side.
The first triangular shape has a base of 4 inches and a height of 4 inches.
Area of the first triangular shape = 1/2 * base * height = 1/2 * 4 * 4 = 8 square inches
The second triangular shape also has a base of 4 inches and a height of 4 inches.
Area of the second triangular shape = 1/2 * base * height = 1/2 * 4 * 4 = 8 square inches
Now, let's find the area of the rectangular shape on the top.
Height = 8 inches
Width = 8 inches
Area of the top rectangular shape = Height * Width = 8 * 8 = 64 square inches
Finally, let's find the area of the triangular shape on the bottom.
The base and height of the triangular shape are both 8 inches.
Area of the bottom triangular shape = 1/2 * base * height = 1/2 * 8 * 8 = 32 square inches
To find the total area, we add up the areas of all the shapes.
Total area = Area of the left rectangular shape + Area of the first triangular shape + Area of the second triangular shape + Area of the top rectangular shape + Area of the bottom triangular shape
Total area = 32 + 8 + 8 + 64 + 32 = 144 square inches
The correct answer is not listed among the options provided.