Question

what is the value of h?
trapezoid f
trapezoid g is a scaled copy of trapezoid f.

Explanation:

Step1: Find the scale factor

Since trapezoid \(G\) is a scaled copy of trapezoid \(F\), we can find the scale factor \(k\) using the non - parallel sides. The length of the non - parallel side of trapezoid \(F\) is \(20\), and the length of the non - parallel side of trapezoid \(G\) is \(25\). The scale factor \(k=\frac{25}{20}=\frac{5}{4}\)

Step2: Calculate the value of \(h\)

The length of the top - parallel side of trapezoid \(F\) is \(28\). To find the length of the top - parallel side \(h\) of trapezoid \(G\), we use the scale factor. We know that \(h = 28\times k\). Substitute \(k = \frac{5}{4}\) into the equation: \(h=28\times\frac{5}{4}\)

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Answer:

\(35\)