Question

trapezoid g is a scaled copy of trapezoid f. trapezoid f (blue) has a top side length of 20 and a left side length of 28. trapezoid g (green) has a top side length of 25 and a left side length of ( h ). what is the value of ( h )?

Explanation:

Step1: Find the scale factor

The corresponding sides of the scaled copy (trapezoid G) and the original (trapezoid F) are in proportion. The top side of F is 20 and of G is 25. So the scale factor \( k = \frac{25}{20}=\frac{5}{4} \).

Step2: Calculate h using the scale factor

The height of trapezoid F is 28. To find the height \( h \) of trapezoid G, we multiply the height of F by the scale factor. So \( h = 28\times\frac{5}{4} \). Simplifying, \( 28\div4 = 7 \), and \( 7\times5 = 35 \).

Answer:

35