NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 9
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9. 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 Loading image••• |
2 | Properties of Area | 1) Two congruent figures have same area  Two Congruent Loading image•••  Two Congruent Loading image••• 2) If two figure have same area, they are not necessary congruent  If Two Figure Have Same Area Loading image•••  If Two Figure Have Same Area Not Necessary Congruent Loading image••• 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 Loading image••• |
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 Loading image••• 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 Loading image••• 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 Loading image••• 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 Loading image••• 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 |