To determine the area of the completed flag, we need to use the properties of similar triangles. When a figure is enlarged, the area scales by the square of the scaling factor.
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Identify the dimensions of the scale drawing: Let's call the base and height of the original triangular flag \( b \) and \( h \), respectively.
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Calculate the area of the scale drawing: The area of a triangle is given by the formula: \[ \text{Area} = \frac{1}{2} \times b \times h \]
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Determine the scaling factor: If we didn’t have the original dimensions, we would need the sizes of both the original and enlarged flag. Assume the ratio of similarity (scale factor) between the small and large triangle is \( k \).
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Calculate the area of the enlarged flag: The area of the enlarged flag would be scaled by the square of the factor \( k \): \[ \text{Area}{\text{large}} = k^2 \times \text{Area}{\text{small}} \]
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Choose a scaling factor and original area to find the final area: For instance, if the area of the original triangular flag is known to be \( \text{Area}_{\text{small}} \) and the scaling factor \( k \) is known, substitute those values into the area formula for the enlarged flag.
To actually provide a numerical answer among the given options (108 square feet, 72 square feet, 54 square feet, 6 square feet), we would need the initial area or dimensions of the original triangle or the scaling factor used for the enlargement.
In absence of the explicit measurements from your situation, we can't accurately assign an area to the enlarged flag just based on your message.
However, if you can provide the base and height of either triangle or the ratio of enlargement, I could work out the area for the enlarged flag explicitly.