Area Questions and Answers

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Q31
If the area of a rhombus is 15sq. cm and the length of one of its diagonals is 5 cm, then the length of the other diagonal is ;
  • A 3 cm
  • B 5 cm
  • C 6 cm
  • D 7 cm
Answer: Option C
Q32
In a rhombus whose area is 144 sq. cm, one of its diagonals is twice as long as theother. theength of its diagonals are :
  • A 12 cm, 24 cm
  • B 6 cm, 12 cm
  • C 24 cm, 48 cm
  • D 18 cm,32 cm
Answer: Option A
Q33
The perimeterof rhumbus is 52 metres and its shorter diagonal is 10 metres long. The length of longer diagonal is :
  • A 12 m
  • B 18 m
  • C 10.4 m
  • D 24 m
Answer: Option D
Q34
The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the longer diagonal ?
  • A 4/5
  • B 2/5
  • C 3/4
  • D 1/4
Answer: Option B
Q35
If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is :
  • A Greater than 1
  • B Equal to 1
  • C Equal to 1/2
  • D Equao to 1/4
Answer: Option B
Q36
The parallel sides of a trapezium are in the ratio of 3 : 5 and the perpendicular distance between them is 12 cm. If the area of the trapezium is 384 sq. cm, then the smaller of the parallel sides is :
  • A 16 cm
  • B 24 cm
  • C 32 m
  • D 40 cm
Answer: Option B
Q37
The cross section of a canal is trapezium in shape. The canal is 12 m wide at the top and 8 m wide at the bottom. If the area of the cross section is 840 sq. m, the depth of the canal is :
  • A 42 m
  • B 84 m
  • C 63 m
  • D 8.75 m
Answer: Option B
Q38
The area of a circle is 38.5 sq.cm. Its circumference is :
  • A 6.2 cm
  • B 11 cm
  • C 22 cm
  • D 121 cm
Answer: Option C
Q39
The areas of two concentric circles forming a ring are 154 sq.com and 616 sq.cm. the breadth of the ring is :
  • A 7 cm
  • B 14 cm
  • C 21 m
  • D 28 cm
Answer: Option A
Q40
A circular road runs round a circular ground. If the diference between the circumferences of the outer circle andinner circle is 66 metres. the width of the road is :
  • A 5.25 m
  • B 7 m
  • C 10.5 m
  • D 21 m
Answer: Option C
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