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Area problems
1. The areas of two similar triangles ?ABC and ?PQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?
Options
A. 16
B. 12
C. 8
D. 6
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Correct Answer: 8
2. If the perimeter of a semi-circle is 108 cm, then find its radius (in cm).
Options
A. 42
B. 28
C. 56
D. 21
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Correct Answer: 21
3. If the length of the side of an equilateral triangle is 8 cm, what is its area?
Options
A. 32?3 sq cm
B. 16 sq cm
C. 16?3 sq cm
D. 32 sq cm
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Correct Answer: 16?3 sq cm
4. The lengths of the diagonals of a rhombus are 8 cm and 6 cm. The area of rhombus is:
Options
A. 96 cm2
B. 60 cm2
C. 48 cm2
D. 24 cm2
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Correct Answer: 24 cm2
5. The length of the diagonal of a square is 10 cm. What is area of this square?
Options
A. 50 sq cm
B. 100 sq cm
C. 200 sq cm
D. 25 sq cm
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Correct Answer: 50 sq cm
6. What is the length of the side of an equilateral triangle, if its area is 64?3 sq cm?
Options
A. 8 cm
B. 16 cm
C. 16?3 cm
D. 8?3 cm
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Correct Answer: 16 cm
7. Area of 4 walls of a cuboid is 448 sq cm, its length is 18 cm and height is 8 cm. What is its breadth (in cm)?
Options
A. 10
B. 9
C. 8
D. 7
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Correct Answer: 10
8. What is the area (in sq cm) of a rectangle if its diagonal is 51 cm and one of its sides is 24 cm?
Options
A. 540
B. 810
C. 1080
D. 360
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Correct Answer: 1080
9. What is the area (in sq cm) of a rectangle of perimeter 90 cm and breadth 20 cm?
Options
A. 500
B. 400
C. 250
D. 450
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Correct Answer: 500
10. Area of the circle inscribed in a square of diagonal 6?2 cm (in sq cm) is
Options
A. 9 ?
B. 6 ?
C. 3 ?
D. 9?2 ?
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,
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Correct Answer: 9 ?
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