Advertisements
Advertisements
प्रश्न
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) =
विकल्प
1 : 4
2 : 1
1 : 2
1 : 1
Advertisements
उत्तर
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
संबंधित प्रश्न
In the below fig. ∠AOB = 90°, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of
ΔAOB.
In the below Fig, ABC and ABD are two triangles on the base AB. If line segment CD is
bisected by AB at O, show that ar (Δ ABC) = ar (Δ ABD)
In the given figure, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.
In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm2, then ar (ΔBEC) =
The length and breadth of a rectangular piece of land are in the ratio 5 : 3. If the total cost of fencing it at the rate of ₹24 per meter is ₹9600, find its :
(i) length and breadth
(ii) area
(iii) cost of levelling at the rate of ₹60 per m2.
Find the area of a rectangle whose length = 8.5 m breadth = 5 m.
The table given below contains some measures of the rectangle. Find the unknown values.
| Length | Breadth | Perimeter | Area |
| ? | 15 cm | 60 cm | ? |
Is the area of both your footprints the same?
Find the area of the following figure by counting squares:
What is the area of a closed shape?
