Question

consider the original trapezoid and the enlargement
what is the length of side a, in centimeters, on the enlarged trapezoid?
hint: you are given more information than you need. try setting up a proportion using the top and bottom of each trapezoid.
figures not drawn to scale

Explanation:

Step1: Identify the scale factor

The original trapezoid has a top base of 2 cm and the enlarged trapezoid has a top base of 8 cm. The scale factor \( k \) is \( \frac{8}{2} = 4 \).

Step2: Apply the scale factor to the original side

The original side corresponding to side A is 3 cm. Multiply by the scale factor: \( 3 \times 4 = 12 \).

Answer:

12