NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

9. Area of Parallelogram

Area of Parallelogram
S. no	Terms	Descriptions
1	Area of figure	Area of a figure is a number (in some unit) associated with the part of the plane enclosed by that figure. Area of Figure
2	Properties of Area	(1) Two congruent figures have same area Two Congruent Two Congruent (2) If two figures have same area, they are not necessary congruent If Two Figure Have Same Area If Two Figure Have Same Area Not Necessary Congruent (3) If a planar region formed by a figure T is made up of two non-overlapping planar regions Formed by figures P and Q, then ar (T) = ar (P) + ar (Q) , where ar (X) denotes the area of Figure X. Properties of Area
3	Figure on the same base and between same parallels	Two figures are said to be on the same base and between the same parallels, if they have a common base (side) and the vertices, (or the vertex) opposite to the common base of each figure lies on a line parallel to the base. Figure on the Same Base and between Same Parallels In the above figure triangle and parallelogram are on the same base and between same parallel
4	Parallelogram on same base and between same parallel	Parallelograms on the same base (or equal bases) and between the same parallels are equal in area. Area of Parallelogram ABCD = Area of Parallelogram PBCQ
5	Area of Area of parallelogram	Area of Area of parallelogram is equal base multiplied by Parallelogram Height Area of Area of Parallelogram Area of Parallelogram = Height X Base Parallelograms on the same base (or equal bases) and having equal areas lie between the same parallel
6	Triangles and Parallelogram	(a) If a parallelogram and a triangle are on the same base and between the same parallels, then area of the triangle is half the area of parallelogram Area of triangle ABD = Area of triangle ACB Area of Parallelogram ABCD Area of triangle ADB (b) Triangles on the same base (or equal bases) and between the same parallels are equal in area Area of Triangle ABD = Area of Triangle ACB Area of triangle ABD = Area of triangle ACB
7	Area of Triangle	(1) Area of triangle is given by (2) Triangles on the same base (or equal bases) and having equal areas lie between the same parallels