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Area problems


  • 1. 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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  • 2. Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

  • Options
  • A. 118
  • B. 110
  • C. 138
  • D. 128
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  • 3. 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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  • 4. 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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  • 5. 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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  • 6. 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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  • 7. Let O be the orthocentre of the triangle ABC. If ?BOC = 150°, Then ?BAC is

  • Options
  • A. 30°
  • B. 60°
  • C. 90°
  • D. 120°
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  • 8. What is the area (in sq cm) of a rectangle of perimeter 48 cm and breadth 10 cm?

  • Options
  • A. 140
  • B. 480
  • C. 240
  • D. 440
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  • 9. The areas of two similar triangles ?XYZ and ?PQR are 100 sq cms and 25 sq cms respectively. If PQ = 4 cm then what is the length of XY (in cm)?

  • Options
  • A. 16
  • B. 14
  • C. 8
  • D. 20
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  • 10. What is the area (in sq cm) of a regular hexagon of side 6 cm?

  • Options
  • A. 27?3
  • B. 54?3
  • C. 54
  • D. 27
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