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

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

EF Divides The Rectangle ABCD In Two Equal Parts of _____....

Options:

A . 6 cm2

B . 5 cm2

C . 8 cm2

D . 10 cm2

Answer: Option A
:
A

E F

divides the rectangle ABCDinto two trapeziums.
Area of trapezium ABFE

= \frac{1}{2} \times (S u m o f p a r a l l e l s i d e s) \times (D i s t a n c e b e t w e e n t h e m

= \frac{1}{2} \times (A E + B F) \times A B

= \frac{1}{2} \times (1 + 2) \times 4

= \frac{1}{2} \times 3 \times 4 = 6 c m^{2}

Area of trapezium CDEF

= \frac{1}{2} \times (F C + E D) \times C D

= \frac{1}{2} \times (1 + 2) \times 4

= \frac{1}{2} \times 3 \times 4 = 6 c m^{2}

Area of both the trapeziums are equal.

∴

E F

divides the rectangle

A B C D

in two equal parts and the area of both the parts are

6 c m^{2}

.

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