Areas Of Parallelograms And Triangles

The median of a triangle divides it into two
1. triangles of equal area
2. congruent triangles
3. right triangles
4. isosceles triangles
The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is
1. a rectangle of area 24 cm²
2. a square of area 25 cm²
3. a trapezium of area 24 cm²
4. a rhombus of area 24 cm²
In Fig. 9.4, the area of parallelogram
ABCD is
1. AB × BM
2. BC × BN
3. DC × DL
4. AD × DL
In Fig. , if parallelogram ABCD and rectangle ABEF are of equal area, then
1. Perimeter of ABCD = Perimeter of ABEM
2. Perimeter of ABCD < Perimeter of ABEM
3. Perimeter of ABCD > Perimeter of ABEM
4. Perimeter of ABCD =1/2 Perimeter of ABEM
Two parallelograms are on the same base and between the same parallels. What is the ratio of their areas?
1. 2:1
2. 1:2
3. 1:1
4. 3:1
One of the diagonals of a quadrilateral is 16 cm. The perpendiculars drawn to it from its opposite vertices are 2.6 cm and 1.4 cm. Find its area
1. 32
2. 40
3. 26
4. 28
The ratio of the bases of two triangles is a: b. If the ratio of their corresponding altitudes is c: d, find the ratio of their areas (in the same order).
1. ac: bd
2. ad: be
3. bd: ac
4. be:ad
The base and corresponding altitude of a parallelogram are 18 cm and 6 cm respectively. What is its area?
1. 32
2. 44
3. 40
4. 108
A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is
1. 1 : 1
2. 1 : 2
3. 2 : 1
4. 1 : 3
If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH)=40cm2,find the ar (parallelogram ABCD).
1. 40
2. 20
3. 80
4. 60
If a triangle and a square are on the same base and between the same parallels, What is the ratio of their areas in order?
1. 1 : 3
2. 1 : 2
3. 3: 1
4. 1 : 4
Observe the figures given and choose the incorrect statements.
1. ar(ABCD)=ar(ADEF)
2. ar(ABCD)=ar(ΔADP)+ar(DEFP)
3. ar(ΔADP)=1/2*[ar(ABCD)]
4. ar(ABCP)=ar(DEFP)
Observe the figures given and choose the incorrect statements
1. ar(ΔAPB)=ar(ΔQCD)
2. ar(ABQD)=2ar(APQD)
3. ar(ABQD)=ar(ΔABP)+ar(APQD)
4. ar(ADCP)=ar(ΔABP)+ar(APQD)
In aΔABC,Gis the centroid. What is the ratio of area of ΔAGCto area ofΔABC?
1. 1 :2
2. 1 :3
3. 1 :4
4. 1 :6
A square and a rhombus are on the same base and between the same parallels. Which of the following is the ratio of their areas?
1. 1 : 1
2. 1 : 2
3. 1 : 3
4. 1 : 4
In the given figure, AB || DC. Identify the triangles that have equal areas.
1. ΔADX,ΔACX
2. ΔADX,ΔXCB
3. ΔACX,ΔXDB
4. ALL
In the given figure, ABCD is a parallelogram. If area ofΔABLis 15 cm2and area ofΔDCL is 32cm2, find the area of the parallelogram ABCD.
1. 94
2. 86
3. 72
4. 65
In the given figure, if p//q, what is the area of ΔABC?
1. 77
2. 38.5
3. 40
4. 19.25
AD is the median of aΔABCand the area of ΔADC=15cm2.Find the ar (ΔABC.)
1. 15
2. 22.5
3. 30
4. 37.5
If D, E and F are the mid-points of the sides BC, CA and AB of a ΔABCrespectively, what is the quadrilateral AFDE?
1. A square
2. A rectangle
3. A parallelogram
4. A trapezium

Areas Of Parallelograms And Triangles

Quiz