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In the adjoining figure, if l || m, AF || BE, FC ⊥ m and ED ⊥ m, then the correct statement is

  1. area of || ABEF = area of rect. CDEF

  2. area of || ABEF = area of quad. CBEF

  3. area of || ABEF = 2 area of △ACF

  4. area of || ABEF = 2 area of △EBD

In the adjoining figure, if l || m, AF || BE, FC ⊥ m and ED ⊥ m, then the correct statement is? Theorems on Area, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Theorems on Area

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Answer

We know that,

A parallelogram and a rectangle on the same base and between the same parallel lines are equal in area.

Since, || ABEF and rectangle CDEF are on same base EF and between same parallel lines l and m.

∴ area of || ABEF = area of rect. CDEF.

Hence, Option 1 is the correct option.

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