A rectangle has length which is 5 cm less than twice its breadth. If the length is decreased by 5cm and breadth is increased by 2 cm the perimeter of the resulting rectangle will be 74cm. Find the length and breadth of the original rectangle
Answers
Answered by
7
Original breadth = a
Original length = 2a - 5
New length = 2a - 5 - 5 = 2a - 10
New breadth = a + 2
New perimeter = 2 (2a - 10 + a + 2) = 74
2(3a - 8) = 74
6a - 16 = 74
6a = 90
a = 15
Original breadth = 15cm
Original length = 2a - 5 = 30 -5 = 25cm
Similar questions