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  1. ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of AED is
    1. AD
      BC
    2. BE
      EC
    3. BE + BE
      AD + AD
    4. AD + BC
      AD
Correct Option: D

Using Rule 13, E

EF is perpendicular on side AD.

∴ Area of trapezium =
1
(AD + BC) × EF
2

∴ Area of ∆AED =
1
× AD × EF
2

∴ Required ratio =
1
(AD + BC) × EF
2
1
× AD × EF
2

=
AD + BC
AD



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