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a square and a rectangle have the same perimeter if the side of a square is 16 and the length of a rectangle is 18 the breadth of a rectangle is |
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Answer» Answer: BREADTH of the rectangle = 14 units Step-by-step explanation: We know that, Perimeter of Square = 4 × side Side = 16 units Then, P of Square = 4 × 16 P(S) = 64 units Similarly, Perimeter of Rectangle = 2(Length + Breadth) Length = 18 units Then P(R) = 2(18 + Breadth) Opening the BRACKETS, P(R) = 36 + 2(Breadth) Now, according to the Question, Perimeter of Square = Perimeter of Rectangle P(S) = P(R) 64 = 36 + 2(Breadth) 2(Breadth) = 64 - 36 2(Breadth) = 28 Breadth = 28/2 Breadth = 14 units Hence, Breadth of the rectangle = 14 units |
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