Questions: Find the area of the figure.

Find the area of the figure.
Transcript text: Find the area of the figure.
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Solution

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Solution Steps

Step 1: Divide the figure into simpler shapes

The figure can be divided into three rectangles and two triangles. Two rectangles are on the sides, and the center one is formed by a dashed line. The triangles are formed above and below the center rectangle.

Step 2: Calculate the area of the rectangles

The two similar rectangles have dimensions 96 ft by 96 ft. Their combined area is $2 * (96 * 96) = 18432\text{ ft}^2$. The center rectangle has dimensions 93 ft by 96 ft, giving an area of $93 * 96 = 8928 \text{ ft}^2$.

Step 3: Calculate the area of the triangles

The two triangles are congruent and each has a base of 96 ft and a height of $\frac{96 - 93}{2} = \frac{3}{2} = 1.5$ ft. Therefore, the area of each triangle is $\frac{1}{2} * 96 * 1.5 = 72\text{ ft}^2$. Their combined area is $2 * 72 = 144\text{ ft}^2$.

Step 4: Calculate the total area

The total area of the figure is the sum of the areas of the rectangles and the triangles: $18432 + 8928 + 144 = 27504\text{ ft}^2$.

Final Answer: The final answer is $\boxed{27504}$

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