Penny has a pool in the shape of trapezoid $$A B C D$$ as shown, with lengths in feet (ft). ![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-25%20at%204.17.48%20PM_20230425141828940949.png) Ben has an identical pool, trapezoid EFGH, but his is rotated as shown. What is the length, in feet, of side EF? ![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-25%20at%204.18.58%20PM_20230425141914300622.png)

Answer After rotation, the figure becomes identical. $$GF ,EF, H G$$ and $$H E$$ are congruent to $$B C, A B, C D$$ and $$AD$$. Therefore, the side $${EF}={AB}=5.8 {ft}$$

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Penny has a pool in the shape of trapezoid $A B C D$ as shown, with lengths in feet (ft).

Ben has an identical pool, trapezoid EFGH, but his is rotated as shown.

What is the length, in feet, of side EF?

5.8

10

5.3

6

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