Important Questions of Areas of Parallelograms and Triangles Mathematics | Zigya

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81. The areas of a parallelogram and a triangle are equal and they lie on the same base. If the altitude of the parallelogram is 2 cm, then the altitude of triangle is
  • 1 cm
  • 1 cm
  • 2 cm
  • 2 cm
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82. In the following figure, ABCD is a parallelogram. DE ≅ AB and BF ≅ AD. If AB = 12 cm, DE = 6 cm and AD = 8 cm, find BF.


  • 8 cm 
  • 6 cm
  • 12cm 
  • 12cm 
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83. In the following figure, find the area of quad. ABCD.


  • 7 square units
  • 12 square units
  • 6 square units
  • 6 square units
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84. In ΔABC, E is the mid-point of median AD. Then the ratio of areas of ABED to area of ΔABC is
  • 1 : 2
  • 2 : 1
  • 4 : 1
  • 4 : 1
99 Views

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85. Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is
  • 1 : 2 
  • 1 : 1
  • 2 : 1
  • 2 : 1
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86. If a triangle and a parallelogram are on same base and between same parallels, then the ratio of the area of the triangle to the area of the parallelogram is:
  • 1 : 3 
  • 1 : 2
  • 3 : 1 
  • 3 : 1 
459 Views

87.  In given figure, ABCD is a parallelogram. If ar(ABFC) = 40 cm2, then ar(ΔAEB) is equal to:
  • 20 cm2   
  • 40 cm2
  • 80 cm2
  • 80 cm2
242 Views

88. In a ΔABC, AD is a median. E is the midpoint of the median AD. If area (ABED) = 20 cm2, then area (ΔABC) will be
  • 10 cm2  
  • 5 cm2
  • 60 cm2  
  • 60 cm2  
102 Views

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89.  If length of the diagonal of a square is 8 cm, then its area will be
  • 64 cm2
  • 32 cm2
  • 16 cm2
  • 16 cm2
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90. If a triangle and a rhombus are on the same base and between the same parallels, then ratio of area of triangle and area of rhombus are in the ratio:
  • 1 : 1
  • 1 : 2
  • 1 : 3 
  • 1 : 3 
618 Views

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