MathDB
2019 Geometry # 5

Source:

September 10, 2023
geometry2019

Problem Statement

Trapezoid ABCDABCD has properties AB∥CDAB \parallel CD, AB=15AB = 15, CD=27CD = 27, and BC=AD=10BC = AD = 10. A smaller trapezoid EFGHEF GH is drawn withinABCD ABCD with AB∥EFAB\parallel EF, BC∥FGBC\parallel F G, CD∥GHCD\parallel GH, and DA∥HEDA\parallel HE such that each edge in ABCDABCD is a distance 22 away from the corresponding edge in EFGHEF GH. Compute the area of EFGHEF GH.
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