Question

consider the original trapezoid and the enlargement.
diagrams: blue trapezoid with top 3 cm, sides 2 cm, bottom 5 cm; red trapezoid with sides 8 cm, bottom 20 cm, top a
figures not drawn to scale.
what is the length of side a, in centimeters, on the enlarged trapezoid?
options: 4, 6, 12, 20

Explanation:

Step1: Find the scale factor

The original trapezoid has a base of 5 cm, and the enlarged trapezoid has the corresponding base of 20 cm. The scale factor \( k \) is calculated as \( k=\frac{20}{5} = 4 \).

Step2: Calculate the length of side A

The original trapezoid has the top side of 3 cm. To find the length of side A in the enlarged trapezoid, we multiply the original length by the scale factor: \( A = 3\times4=12 \) cm.

Answer:

12