Parelllogram and triangles 28. In the adjoining figure, ABCD is a parallelogram.
P is a point on such that BP : pc- 2,
Dp produced meets AB at Q.
Given ar (ACPQ) 20 cm2.
Calculate : (i) ar ABCD).
29. In the adjoining figure, ABCD is a parallelogram. p is a point
on DC such that (A.•WDJ 25 cm2 and ar (ABPC) 15 ctn*,
Calculate : (i) ar ( gm ABCD) (ii) DP : PC-
30. In the given figure, DC EF, AD BE and DE C. AF.
prove that ar gm DEFH) ar ( gm ABCD).
In the given figure, squares ABDE and AFGC are drawn on the
side AB and hypotenuse AC of right triangle ABC and BH _L FG,
Prove that : (i) AEAC ABAF.
(ii) ar (sq. ABDE) = ar (rect. ARHF).
32. Construct a quadrilateral ABCD in Which AB = 3.2 cm, BC = 2.8 cm, CD = 4
DA z 4.5 cm and BD 5.3 cm. Also construct a triangle equal in area to this quadrilateral.
