Area Of Parallelogram And Triangle

15 Questions | By Jagranjosh | Updated: Mar 21, 2022 | Attempts: 644

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Area Of Parallelogram And Triangle - Quiz

In this geometrical quiz, we’ll be taking a look at some interesting little shapes in the parallelogram and the triangle, looking at their areas and how you can achieve them. See how much you know about the area of parallelograms and triangles below! Good luck!

Questions and Answers

1.

If a triangle and square are on the same base and between the same parallels, then the ratio of the area of the triangle to the area of the square is:
- A.
  
  1:4
- B.
  
  1:2
- C.
  
  1:3
- D.
  
  3:1
2.

In ΔABC, E is the midpoint of median AD. ar (ΔBED) =
- A.
- B.
- C.
- D.
  
  None of the above
3.

The figure obtained by joining midpoint of adjacent sides of a rectangle of sides 8 cm and 6 cm is:
- A.
  
  A rectangle of area 24 cm²
- B.
  
  A square of area 24 cm²
- C.
  
  A trapezium of area 24 cm²
- D.
  
  A rhombus of area 24 cm²
4.

In ΔABC, D, E, F are respectively the midpoints of the sides AB, BC and AC. Ratio of area of ΔDEF: area of ΔABC =____.
- A.
  
  1:4
- B.
  
  2:3
- C.
  
  2:3
- D.
  
  3:4
5.

If the base of a parallelogram is 8 cm and its altitude is 5 cm, then its area is equal to:
- A.
  
  10 cm²
- B.
  
  15 cm²
- C.
  
  20 cm²
- D.
  
  40 cm²
6.

If E, F, G, H are, respectively, the midpoints of the sides of a parallelogram ABCD, and ar (EFGH) = 40 cm², then the ar (parallelogram ABCD) is:
- A.
  
  20 cm²
- B.
  
  40 cm²
- C.
  
  60 cm²
- D.
  
  80 cm²
7.

The length of the diagonal of the square is 10 cm. The area of the square is:
- A.
  
  20 cm²
- B.
  
  50 cm²
- C.
  
  70 cm²
- D.
  
  100 cm²
8.

ABCD is a parallelogram. If E and F are midpoints of the sides AB and CD and diagonal AC is joined then ar (FCBE) : ar (CAB)
- A.
  
  1:1
- B.
  
  2:1
- C.
  
  1:2
- D.
  
  1:4
9.

In the figure, ABCD is a trapezium with parallel sides AB = a cm, CD = b cm. E and F are the midpoints of non-parallel sides. The ratio of ar (ABFE) and ar (EFCD):
- A.
  
  A:b
- B.
  
  (3a + b):(a + 3b)
- C.
  
  (1 + 3b): (3a + b)
- D.
  
  (2a + b):(3a + b)
10.

In ΔABC, G is the centroid, then area of ΔAGC is__________of area of ΔABC.
- A.
- B.
- C.
- D.
  
  None
11.

In the figure, ABCD is a parallelogram and ‘O’ is the midpoint of AB. If an area of the parallelogram is 74 sq cm, then area of ΔDOC is:
- A.
  
  18.5 sq cm
- B.
  
  37 sq cm
- C.
  
  158 sq cm
- D.
  
  222 sq cm
12.

In the given figure, the area of parallelogram ABCD is:
- A.
- B.
- C.
- D.
13.

In the given figure, if parallelogram ABCD and rectangle ABEF are of equal areas, then:
- A.
  
  Perimeter of ABCD = Perimeter of ABEM
- B.
  
  Perimeter of ABCD < Perimeter of ABEM
- C.
  
  Perimeter of ABCD > Perimeter of ABEM
- D.
14.

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD:
- A.
  
  Is a rectangle
- B.
  
  Is always a rhombus
- C.
  
  Is parallelogram
- D.
  
  None of these
15.

The median of a triangle divides it into two:
- A.
  
  Triangles of equal area
- B.
  
  Congruent triangles
- C.
  
  Right triangles
- D.
  
  Isosceles triangles