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The area of a square is four times area of a rectangle. The length of the rectangle is 25 cm and its breadth is 1 cm less than one-fifth its length. What is the perimeter of the square? 
  • a)
    40 cm 
  • b)
    80 cm 
  • c)
    160 cm 
  • d)
    Cannot be determined 
  • e)
    None of these 
Correct answer is option 'B'. Can you explain this answer?
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To solve this problem, we need to find the dimensions of the rectangle and then use that information to calculate the area of the square.

Given:
Length of the rectangle = 25 cm
Breadth of the rectangle = (1/5) * (length) - 1

Finding the dimensions of the rectangle:
Breadth of the rectangle = (1/5) * (25) - 1
= 5 - 1
= 4 cm

Area of the rectangle = Length * Breadth
= 25 cm * 4 cm
= 100 cm^2

Since the area of the square is four times the area of the rectangle, the area of the square is 4 * 100 cm^2 = 400 cm^2.

Finding the side length of the square:
Area of the square = side length^2
400 cm^2 = side length^2

Taking the square root of both sides, we get:
Side length = √400 cm
= 20 cm

Calculating the perimeter of the square:
Perimeter of the square = 4 * side length
= 4 * 20 cm
= 80 cm

Therefore, the perimeter of the square is 80 cm, which corresponds to option B.
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The area of a square is four times area of a rectangle. The length of the rectangle is 25 cm and its breadth is 1 cm less than one-fifth its length. What is the perimeter of the square?a)40 cmb)80 cmc)160 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?
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