Advertisement Remove all ads

In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SR respectively and diagonal Q is joined. The ratio ar (||gm XQRY) : ar (ΔQSR) = - Mathematics


In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||gm XQRY) : ar (ΔQSR) =


  •  1 : 4

  •  2 : 1

  •  1 : 2

  • 1 : 1

Advertisement Remove all ads


Given: (1) PQRS is a parallelogram.

(2) X is the midpoint of PQ.

(3) Y is the midpoint of SR.

(4) SQ is the diagonal.

To find: Ratio of area of ||gm XQRY : area of ΔQRS.

Calculation: We know that the triangle and parallelogram on the same base and between the same parallels are equal in area.

∴ Ar (||gm PQRS) = Ar (ΔQRS)

`Ar ( "||"^(gm) XQRY ) = 1/2 Ar ("||"^(gm) PQRS)`

(since X is the mid point of PQ and Y is the midpoint of SR)

`Ar ("||"^(gm) XQRY) = Ar (ΔQRS)`

`Ar ("||"^(gm) XQRY ) : Ar (ΔQRS) = 1:1`



  Is there an error in this question or solution?
Advertisement Remove all ads


RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Q 14 | Page 61
Advertisement Remove all ads
Advertisement Remove all ads

View all notifications

      Forgot password?
View in app×