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Area problems


  • 1. The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

  • Options
  • A. 18
  • B. 28
  • C. 38
  • D. 48
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  • 2. The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 sq.m. The length of the hall is

  • Options
  • A. 20
  • B. 25
  • C. 30
  • D. 35
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  • 3. The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is

  • Options
  • A. 5100 sq.m
  • B. 4870 sq.m
  • C. 4987 sq.m
  • D. 4442 sq.m
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  • 4. Area of a square and a rectangle are equal. If side of the square is 40 cm and length of the rectangle is 64 cm, what is the perimeter of the rectangle ?

  • Options
  • A. 187 cm
  • B. 178 cm
  • C. 149 cm
  • D. 194 cm
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  • 5. The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ?

  • Options
  • A. 15 cm
  • B. 18 cm
  • C. 34 cm
  • D. 26 cm
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  • 6. The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm.

  • Options
  • A. Only statement A is required
  • B. Only statement B is required
  • C. Both A & B are required
  • D. Neither (A) nor (B) is reuired
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  • 7. A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?

  • Options
  • A. 28 cm
  • B. 3.5 cm
  • C. 7 cm
  • D. 14 cm
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  • 8. Square units 13 by 9 of an office area is

  • Options
  • A. 97
  • B. 117
  • C. 107
  • D. 127
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  • 9. Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?

  • Options
  • A. 121 sq.com
  • B. 154 sq.com
  • C. 186 sq.com
  • D. 164 sq.com
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  • 10. The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

  • Options
  • A. 312 sq.cm
  • B. 128 sq.cm
  • C. 412 sq.cm
  • D. 246 sq.cm
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