A rectangle has length which is 5cm less than twice its breadth if the length id decreased by 2cm the perimeter of the resulting rectangle will be 74cm find the length and breadth of the original rectangle
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Answer:
Step-by-step explanation:
Breadth = x
Length = 2x - 5
Then the length is decreased by 5
= 2x - 10
The breadth is increased by 2
= x + 2
Perimeter = 2*breadth + 2*length
74 = 2*(x + 2)+ 2*(2x - 10)
74 = 2x + 4 + 4x - 20
74 = 6x - 16
6x = 74 + 16
6x = 90
x = 15 cm
Breadth = 15cm
Length = 25cm
Hope this helps.
:-)
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