EF divides the rectangle ABCD in two parts of equal area.

True

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False

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Solution

The correct option is A
True

ABCD is a rectangle. Hence AEFB and CDEF are trapeziums with parallel sides 1 cm and 2 cm and height 4 cm.

Area of trapezium AEFB = $\frac{1}{2} \times (1 + 2) \times 4$

= 6 $c m^{2}$

Area of trapezium CDEF = $\frac{1}{2} \times (1 + 2) \times 4$

= 6 $c m^{2}$

Area of both the parts are equal.

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