Q1 of 83 Page 367

The area of ‖ gm ABCD is

Area of the ||gm is Base×Height


Here, height is distance between the Base and its corresponding parallel side.


∴ Area (||gm ABCD) = Base × Height = DC × DL


(∵ Here DC is taken as length and DL is the distance between DC and its corresponding parallel side AB).

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33

Which of the following is a false statement?

(A) A median of a triangle divides it into two triangles of equal areas.


(B) The diagonals of a ‖gm divide it into four triangles of equal areas.


(C) In a ∆ABC, if E is the midpoint of median AD, then ar(∆BED) = ar(∆ABC).



(D) In a trap. ABCD, it is given that AB‖DC and the diagonals AC and BD intersect at O. Then, ar(∆AOB) = ar(∆COD).


 34

Which of the following is a false statement?

A) If the diagonals of a rhombus are 18cm and 14cm, then its area is 126cm2.


B) Area of a ‖gm = x base x corresponding height.


C) A parallelogram and a rectangle on the same base and between the same parallels are equal in area.


D) If the area of a ‖ gm with one side 24cm and corresponding height h cm is 192cm2, then h = 8cm.

 2

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

 3

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area. Then, ABCD