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The sides of two similar trapezoids are in a ratio of 1:3. The area of the smaller trapezoid is 12 squared inches. Find the area of the larger trapezoid

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mathstudent55

Answer:

108 sq in.

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the sides.

Side ratio     1:3

Area ratio    1:9

The side of the larger trapezoid is 3 times the side of the smaller trapezoid.

The area of the larger trapezoid is 9 times the area of the smaller trapezoid.

9 * 12 sq in. = 108 sq in.

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