Advertisements
Advertisements
Question
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) =
Options
1 : 4
2 : 1
1 : 2
1 : 1
Advertisements
Solution
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`
APPEARS IN
RELATED QUESTIONS
If P is any point in the interior of a parallelogram ABCD, then prove that area of the
triangle APB is less than half the area of parallelogram.
In the given figure, ABCD is a rectangle in which CD = 6 cm, AD = 8 cm. Find the area of parallelogram CDEF.
ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm2, then ar (ΔAPB) =
The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is ______.
In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm2, then ar (ΔBEC) =
Find the area of a rectangle whose length = 15 cm breadth = 6.4 cm
What is the area of the rectangle? ________ square cm
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- The cost of one book is Rs 47. Sonu buys 23 books.
a) How much money does she have? b) How much money does she pay for the books? c) What is the cost of 47 books?
Find the area of the following figure by counting squares:
Find the area of the following figure by counting squares:
