Questions: Find the area of the figure given to the right. Round to three significant digits if necessary.
Transcript text: Find the area of the figure given to the right. Round to three significant digits if necessary.
Solution
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Find the area of the figure.
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Find the area of the two triangles.
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The two triangles have a base of \(13.8 \text{ ft}\) and a height of \(9 \text{ ft}\). The area of the two triangles is
\(2 \times \frac{1}{2} \times 13.8 \times 9 = 13.8 \times 9 = 124.2 \text{ ft}^2\).
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Find the area of the central rectangle.
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The rectangle has length \(14 \text{ ft}\) and width \(13.8 \text{ ft}\). The area is \(14 \times 13.8 = 193.2 \text{ ft}^2\).
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Find the total area.
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The total area is the sum of the areas of the two triangles and the rectangle.
Total area \(= 124.2 + 193.2 = 317.4 \text{ ft}^2\).
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\( \boxed{317 \text{ ft}^2} \)