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17. In rectangle ABCD, point E lies between A and B and point F lies between B and C. The areas of AADE, AEBF, and ADCF are all equal. If AB 4 and BC = 2, find the ratio of the area of ADEF to the area of AADE. O 4//3 V5 O 2/2 6//3 V6

17. In rectangle ABCD, point E lies between A and B and point F lies between B and C. The areas of AADE, AEBF, and ADCF are all equal. If AB 4 and BC = 2, find the ratio of the area of ADEF to the area of AADE. O 4//3 V5 O 2/2 6//3 V6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Geometry Problem 17:** In rectangle ABCD, point E lies between A and B, and point F lies between B and C. The areas of triangles ∆ADE, ∆EBF, and ∆DCF are all equal. If AB = 4 and BC = 2, find the ratio of the area of ∆DEF to the area of ∆ADE. **Options:** - ○ \( \frac{4}{\sqrt{3}} \) - ○ \( \sqrt{5} \) - ○ \( 2\sqrt{2} \) - ○ \( \frac{6}{\sqrt{3}} \) - ○ \( \sqrt{6} \)
Transcribed Image Text:**Geometry Problem 17:** In rectangle ABCD, point E lies between A and B, and point F lies between B and C. The areas of triangles ∆ADE, ∆EBF, and ∆DCF are all equal. If AB = 4 and BC = 2, find the ratio of the area of ∆DEF to the area of ∆ADE. **Options:** - ○ \( \frac{4}{\sqrt{3}} \) - ○ \( \sqrt{5} \) - ○ \( 2\sqrt{2} \) - ○ \( \frac{6}{\sqrt{3}} \) - ○ \( \sqrt{6} \)
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