Important Questions of Areas of Parallelograms and Triangles Mathematics | Zigya

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101. In the following figure, ABCD is a parallelogram, AE ≅ DC and CF ≅ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, then AD =


  • 16 cm 
  • 12.8 cm
  • 8cm
  • 8cm
126 Views

102. 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  
204 Views

103. In the following figure, find the area of quad. ABCD.


  • 112 cm2 
  • 56 cm2
  • 28 cm2  
  • 28 cm2  
102 Views

104. Find the area of ΔABC if E is the mid-point of AB, AC = 12 cm and CE = 6.5 cm.



  • 90 cm2 
  • 15 cm2
  • 30 cm2
  • 30 cm2
94 Views

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105. In the figure, if AB || DC and HF || AB, then which of the following is true?


  • ar(GHF) = ar(DHFC)
  • 3 ar(GHF) = 2ar(DHFC)
  • ar(GHF) = ar(HEF)
  • ar(GHF) = ar(HEF)
173 Views

106. In ΔABC, D, E and F are the mid-points of BC, CA and AB respectively. If ar(ΔABC) = 56 cm2, then ar(AEDF) is:


  • 21 cm2
  • 28 cm2
  • 16 cm2
  • 16 cm2
88 Views

107. In the figure, ABCD is a parallelogram in which DC = 6 cm and AE ≅ DC, AE = 4 cm. The area of (ΔDCF) is equal to:


  • 24 cm2
  • 10 cm2
  • 12 cm2 
  • 12 cm2 
204 Views

108. In figure, if AD is a median of ΔABC, then


  • ar(ΔABD) = ar(ΔADC)
  • ar(ΔABD) > ar(ΔADC)
  • ar(ΔABD) < ar(ΔADC)
  • ar(ΔABD) < ar(ΔADC)
106 Views

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109. In the figure, AC is parallel to DE. ar(quad. ABCD) = 25 sq. units ar(ΔABC) = 17 sq. units Find ar(ΔACE)


  • 34 sq. units
  • 8 sq. units
  • 17 sq. units
  • 17 sq. units
250 Views

110. In the figure ABCD is a parallelogram and ABE is a triangle, area (ΔABE): area (ABCD) is:
  • 1 : 1
  • 2 : 1
  • 1 : 2
  • 1 : 2
117 Views

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