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A rhombus is formed by joining midpoints of the sides of a rectangle in suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle is
  • a)
    2√2 square units
  • b)
    4 square units
  • c)
    4√2 square units
  • d)
    8 square units
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A rhombus is formed by joining midpoints of the sides of a rectangle i...

 
In a rectangle, the lines joining the midpoints of the sides will be equal and parallel to the sides of the rectangle
Let the sides of the rectangle be l and b respectively
⇒ Diagonals of the rhombus = l and b
⇒ Area of rhombus = ½ × Product of diagonals
⇒ 2 = ½ × l × b
∴ lb = Area of the rectangle = 4 square units
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A rhombus is formed by joining midpoints of the sides of a rectangle in suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle isa)2√2 square unitsb)4 square unitsc)4√2 square unitsd)8 square unitsCorrect answer is option 'B'. Can you explain this answer?
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A rhombus is formed by joining midpoints of the sides of a rectangle in suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle isa)2√2 square unitsb)4 square unitsc)4√2 square unitsd)8 square unitsCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A rhombus is formed by joining midpoints of the sides of a rectangle in suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle isa)2√2 square unitsb)4 square unitsc)4√2 square unitsd)8 square unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rhombus is formed by joining midpoints of the sides of a rectangle in suitable order. If the area of the rhombus is 2 square units, then the area of the rectangle isa)2√2 square unitsb)4 square unitsc)4√2 square unitsd)8 square unitsCorrect answer is option 'B'. Can you explain this answer?.
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