Question

consider the original trapezoid and the enlargement.
what is the length of side a, in centimeters, on the enlarged trapezoid?

Explanation:

Step1: Find the scale factor

The corresponding side of the original trapezoid is \(5\) cm and the corresponding side of the enlarged trapezoid is \(20\) cm. The scale factor \(k\) is calculated by dividing the length of the side of the enlarged trapezoid by the length of the corresponding side of the original trapezoid.
\(k=\frac{20}{5} = 4\)

Step2: Calculate the length of side \(A\)

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

Answer:

\(12\)