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Areas of Parallelograms and Triangles

Multiple Choice Questions

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

147 Views

94. The area of ΔABC is 400 cm². If AD is a median of ΔABC, then the area of ΔABD (in cm²) is:

110 Views

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:

148 Views

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

326 Views

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

219 Views

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

153 Views

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

15 cm²

155 Views

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

733 Views

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Multiple Choice Questions

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

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