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Area problems
1. ?ABC is similar to ?PQR. If ratio of perimeter of ?ABC : perimeter of ?PQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?
Options
A. 15
B. 20
C. 25
D. 16
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Correct Answer: 25
2. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:5 and area of ?ABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
Options
A. 90
B. 98
C. 94
D. 86
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Correct Answer: 90
3. If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is
Options
A. 12 cm
B. 6 cm
C. 1 cm
D. 2 cm
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Correct Answer: 2 cm
4. An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is
Options
A. 2?3 cm
B. 3?2 cm
C. 4?3 cm
D. ?3 cm
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Correct Answer: 2?3 cm
5. ?ABC is an isosceles right angled triangle having ?C = 90°. If D is any point on AB, then AD2+ BD2 is equal to
Options
A. CD2
B. 2CD2
C. 3CD2
D. 4CD2
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Correct Answer: 2CD2
6. ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?
Options
A. 18?3
B. 24?3
C. 36?3
D. 42?3
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Correct Answer: 36?3
7. All sides are congruent in a _____.
Options
A. Rectangle
B. Parallelogram
C. Rhombus
D. Kite
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Correct Answer: Rhombus
8. The area of a circular cricket ground is 24.64 hectares. Find the cost of making rope boundary at the rate of Rs. 5.40 per metre.
Options
A. Rs. 9,600
B. Rs. 9,504
C. Rs. 9,802
D. Rs. 9,876
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Correct Answer: Rs. 9,504
9. The diameter of a circle is 28 cm find its area?
Options
A. 616 sq cm
B. 308 sq cm
C. 154 sq cm
D. 77 sq cm
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Correct Answer: 616 sq cm
10. The measures of the four angles of a quadilateral are in the ratio 3:4:5:6. What is the measure of the biggest angle?
Options
A. 120°
B. 100°
C. 80°
D. 60°
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Correct Answer: 120°
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