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Which of the following statements is/are true? A: If the ratio of length and breadth of a rectangle is 4 : 3 and the side of a square is equal to length of the rectangle, then the ratio of the areas of square and rectangle will be 4 : 3. B: From each corner of a rectangular sheet, if four squares of equal side are cut, then perimeter of the rectangular sheet will be decreased. C: The diagonals of a parallelogram can never perpendicular to each other.

Which of the following statements is/are true? A: If the ratio of length and breadth of a rectangle is 4 : 3 and the side of a square is equal to length of the rectangle, then the ratio of the areas of square and rectangle will be 4 : 3. B: From each corner of a rectangular sheet, if four squares of equal side are cut, then perimeter of the rectangular sheet will be decreased. C: The diagonals of a parallelogram can never perpendicular to each other. Correct Answer Only A

A: Let the length and breadth of the rectangle are ‘4x’ and ‘3x’ respectively and the side of the square is ‘4x’. So, the ratio between the areas of square and rectangle is 16x2 : 12x2 = 4 : 3.

B: If four squares of equal side are cut from each corners of a rectangular sheet, the perimeter of the rectangular sheet will never be changed.

C: Square, rectangle and rhombus are also a parallelogram out of which the diagonals of square and rhombus are always perpendicular.

Hence, only statement A is true.

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