A playground is in shape of a parallelogram with one of its angles to be 60. Length of its longer diagonal is 8 m. What is the area of the playground if the diagonals bisect its angles?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?

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A playground is in shape of a parallelogram with one of its angles to be 60°. Length of its longer diagonal is 8 m. What is the area of the playground if the diagonals bisect its angles?

Correct answer is option 'C'. Can you explain this answer?

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A playground is in shape of a parallelogram with one of its angles to ...

The diagonals bisect the angles of the parallelogram ⇒ The parallelogram is a rhombus.
The diagonals of the rhombus are perpendicular bisectors of each other.

Δ AED is 30° - 60° - 90° triangle.
AD : ED : AE = 2 : 1 : √3
∴ ED = 4 / √3
∴ BD = 8 / √3
Area of the rhombus = Product of the diagonals / 2 = 32 / √3 m²

Hence, option 3.

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A playground is in shape of a parallelogram with one of its angles to be 60°. Length of its longer diagonal is 8 m. What is the area of the playground if the diagonals bisect its angles?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?

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A playground is in shape of a parallelogram with one of its angles to be 60°. Length of its longer diagonal is 8 m. What is the area of the playground if the diagonals bisect its angles?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A playground is in shape of a parallelogram with one of its angles to be 60°. Length of its longer diagonal is 8 m. What is the area of the playground if the diagonals bisect its angles?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A playground is in shape of a parallelogram with one of its angles to be 60°. Length of its longer diagonal is 8 m. What is the area of the playground if the diagonals bisect its angles?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.

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