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

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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 2 Properties of Area (1) Two congruent figures have same areaTwo CongruentTwo Congruent(2) If two figures have same area, they are not necessary congruentIf Two Figure Have Same AreaIf 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 regionsFormed 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 ParallelsIn 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 byParallelogram HeightArea of Area of ParallelogramArea of Parallelogram = Height X BaseParallelograms 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 parallelogramArea of triangle ABD = Area of triangle ACBArea of Parallelogram ABCDArea of triangle ADB (b) Triangles on the same base (or equal bases) and between the same parallels are equal in areaArea of Triangle ABD = Area of Triangle ACBArea 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

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