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 square ABCD, P and Q are mid-point of AB and CD respectively. If AB = 8cm and PQand BD intersect at O, then find area of ΔOPB.
The median of a triangle divides it into two ______.
The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is
Find the area of a rectangle whose length and breadth are 25 m and 16 cm.
Find the area and perimeter of the following parallelograms
Measure the length of the floor of your classroom in meters. Also, measure the width.
- What is the area of the floor of your classroom in square metres?
Cheggu’s wife asked him to make a circle with the wire. She knew it had an area of 800 square meters.
- Why did Cheggu not choose a rectangle? Explain.
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- 352 children from a school went on a camping trip. Each tent had a group of 4 children.
a) How many children did each tent have? b) How many tents do they need? c) How many children in all are in the school?
Measure the length of the floor of your classroom in meters. Also measure the width.
- If you want to move around easily then how many children do you think should be there in one square meter?
In the following figure, the area of parallelogram ABCD is ______.
