Consider the original trapezoid and the reduction. 13.5 cm 3 cm 3 cm 9 cm А 16.5 cm 11 cm Figures not drawn to scale. What is the length of side A, in centimeters, on the reduced trapezoid? 1 O 1.5 2 4.5

The length of side A in the new trapezoid after reduction is: C. 2 cm.
A reduction is a transformation which reduces the size of an original figure, in such a way that the ratios of the corresponding sides of the original and new figure are equal.
Based on the definition of reduction, the following ratio can be written:
16.5/11 = 3/A
Cross multiply
A = (11 × 3)/16.5
A = 2 cm.
Therefore, the length of side A in the new trapezoid after reduction is: C. 2 cm.
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