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CBSE Class 9 Answered

PQRS and ABRS are two parallelograms as shown and Y is any point on BR. If area (AYS)= 56 sq cm, then what is the area of parallelogram  PQRS?
Asked by Topperlearning User | 17 Aug, 2017, 01:53: PM
answered-by-expert Expert Answer

- Area (parallelogram PQRS)= area (parallelogram ABRS)......(i) parallelograms on the same base and between the same parallels are equal in area.

Now, Area (AYS)=begin mathsize 12px style 1 half end style x area (||gm ABRS).... if a  triangle on the same base as a parallelogram and they are between the same parallels then the area of the triangle is half that of the parallelogram.

Area (AYS) =begin mathsize 12px style 1 half end style x area (||gm PQRS)...using (i)

Area (||gm PQRS) =112 sq cm

Answered by | 17 Aug, 2017, 03:53: PM

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