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Area problems
1. 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
2. What is the length of the side of an equilateral triangle, if its area is 36?3 sq cm?
Options
A. 6 cm
B. 24 cm
C. 12 cm
D. 18 cm
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Correct Answer: 12 cm
3. 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
4. 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
5. Area of the circle inscribed in a square of diagonal 6√2 cm (in sq cm) is
Options
A. 9 π
B. 6 π
C. 3 π
D. 9√2 π
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Correct Answer: 9 π
6. What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x = 2, y = -2 and y = 3?
Options
A. 12
B. 24
C. 15
D. 60
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Correct Answer: 15
7. X and Y are the mid points of sides AB and AC of a triangle ABC. If BC+XY=12 units, then BC-XY is
Options
A. 8 units
B. 4 units
C. 6 units
D. 2 units
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Correct Answer: 4 units
8. The point of intersection of all the three medians of a triangle is called its
Options
A. orthocentre
B. incentre
C. centroid
D. circumcentre
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Correct Answer: centroid
9. In a triangle, the distance of the centroid from the three vertices is 4cm, 6cm and 8cm respectively. Then the length of the smallest median is:
Options
A. 8
B. 7
C. 6
D. 5
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Correct Answer: 6
10. The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is
Options
A. 360
B. 260
C. 240
D. 180
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Correct Answer: 180
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