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40 points!! 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.

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1 Answer

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The scale factor is 10/25 = 2/5. This means that every dimension on the scale drawing is 2/5 of the actual dimension.

The height of the scale drawing is 2/5 of 15 inches, which is 6 inches.

The base length of the scale drawing is 2/5 of 25 inches, which is 10 inches.

To find the area of the scale drawing, we need to multiply the height by the base length and divide by 2 (since it's a triangle).

Area of scale drawing = (6 inches * 10 inches) / 2 = 30 square inches

To find the actual area of the triangle, we use the actual dimensions:

Actual area = (15 inches * 25 inches) / 2 = 187.5 square inches

So Magnolia's scale drawing has an area of 30 square inches, but the actual area of the flag is 187.5 square inches.
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