A triangular flag has a height of 15 inches and a base length of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 10 inches. What is the area of Magnolia’s scale drawing? Solve the problem by computing the actual area from the scale drawing. Show your work.(4 points)
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To find the area of Magnolia's scale drawing, we need to first determine the scale factor used in the drawing.
The scale factor is the ratio of the actual length to the length in the drawing. In this case, the actual base length of the flag is 25 inches and the base length in the drawing is 10 inches. Therefore, the scale factor is 25/10 = 2.5.
Next, we need to apply the scale factor to the dimensions of the flag to find the dimensions in the scale drawing. The height of the flag in the scale drawing is 15/2.5 = 6 inches.
Now, we can find the area of the scale drawing by multiplying the scaled height and base length.
Area = 10 inches x 6 inches = 60 square inches.
Therefore, the area of Magnolia's scale drawing is 60 square inches.