Question
Download Solution PDFThe area of a rhombus shaped field is 5544 m2 and the length of one of its diagonals is 72 m. What will be the perimeter of the field (in m)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Area of Rhombus = 5544 m2
One of its diagonal = 72 m
Formula Used :
Area of Rhombus = 1/2 × D1 × D2
Calculation :
According to question,
⇒ 5544 = 1/2 × 72 × D2
⇒ D2 = 154
Now, D2/2 = 77, D1/2 = 36
Now by using Pythagoras theorem,
⇒ AD2 = 772 + 362 = 1296 + 5929 = 7225
⇒ AD = √7225 = 85 m
Perimeter = 4 × 85 = 340 m
∴ The correct answer is 340 m.
Last updated on May 9, 2025
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