Important Questions of Areas of Parallelograms and Triangles Mathematics | Zigya

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91. If P, Q, R and S are the mid-points of a rectangle of area 36 sq. cm, then PQRS is a parallelogram of area
  • 24 cm2 
  • 18 cm2
  • 12 cm2 
  • 12 cm2 
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92. If a rectangle and a square stand on the same base and between the same parallels, then the ratio of their areas is:
  • 1 : 2
  • 1 : 4
  • 1:1 
  • 1:1 
329 Views

93. A triangle ABC and a parallelogram ABCD have a common base BC and lie between the same parallels. If the area of triangle ABC is 34 cm2, what is the area of the parallelogram ABCD?
  • 17 cm2   
  • 68 cm2
  • 34 cm2 
  • 34 cm2 
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94. The area of ΔABC is 400 cm2. If AD is a median of ΔABC, then the area of ΔABD (in cm2) is:
  • 800 
  • 400
  • 200 
  • 200 
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95.

 If the area of ΔABC is 800 cm2, AD is a median, E is the mid-point of AD, F is the midpoint of AB, then the area of ΔAEF (in cm2) is:

  • 400 
  • 300
  • 200   

  • 200   

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96. ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is:
  • a rhombus 
  • a parallelogram
  • a kite
  • a kite
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97. If the area of parallelogram ABCD = 25 cm2 and on the same base CD, a ΔBCD is given such that ar (ΔBCD) = x, then the value of x is:
  •  25 cm2   
  • 12.5 cm
  • 12.5 cm2
  • 12.5 cm2
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98.

In the given figure, if ABCD is a parallelogram, CF ≅ AD and AE ≅ DC. If AB = 16 cm, AE = 4 cm and CF = 10 cm, the length of BC is :

  • 5.8 cm 
  • 6.4 cm
  • 7.5 cm
  • 7.5 cm
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99.  D and E are the points on the sides AB and AC respectively of triangle ABC such that DE || BC. If area of ΔDBC = 15 cm2, then area ΔEBC is:
  • 30 cm2
  • 7.5 cm2
  • 15 cm2
  • 15 cm2
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100.

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is:

 

  • 1 : 2

  • 1 : 1

  • 2 : l 

  • 2 : l 

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