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The perimeter of a rectangular field is 120 m and the difference between its two adjacent sides is 30 m. The sides of the square field whose area is equal to this rectangular field is?
  • a)
    15√2
  • b)
    12√2
  • c)
    15√3
  • d)
    12√3
  • e)
    None of the Above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The perimeter of a rectangular field is 120 m and the difference betwe...
Perimeter of rectangle = 2(l + b) = 120
l + b = 60m — (1)
l – b = 30m –(2)
From (1) and (2)
l = 45 m; b = 15m
Area of rectangle = 675m² = Area of Square
Side of a square = 15√3
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Most Upvoted Answer
The perimeter of a rectangular field is 120 m and the difference betwe...
Let length of rectangle=x
breadth=x-30
120= 2(x+x-30)
x= 45
breadth = 15
area= 45*15 = 675
let side of square be 'a'
675= a^2
a= 15√3
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The perimeter of a rectangular field is 120 m and the difference between its two adjacent sides is 30 m. The sides of the square field whose area is equal to this rectangular field is?a)15√2b)12√2c)15√3d)12√3e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?
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