the length of a rectangle is 5meters less than twice the breadth. if the perimeter is 50 metres, find the length and breadth of a rectangle.
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Answer:
Let the breadth of the rectangle be x m.
Then, the length of the rectangle is (2x-5) m.
Perimeter of the rectangle = 50 m
2( L + B ) = 50
2 [(2x-5) + x] = 50
(2x-5) + x = 25
2x - 5 + x = 25
3x = 30
x = 10 m
(2x-5) = 15m
So, the breadth and length of the rectangle are 10 m an 15 m respectively.
I hope this helps.
Answered by
1
Given :-
The length of a rectangle is 5meters less than twice the breadth. if the perimeter is 50 metres
To Find :-
Length
Breadth
Solution :-
Let the breadth be x
Length = 2x - 5
Perimeter = 2(l + b)
50 = 2(2x - 5 + x)
50/2 = 2x - 5 + x
25 = 3x - 5
25 + 5 = 3x
30 = 3x
30/3 = x
10 = x
Breadth = 10 m
Length = 2(10) - 5 = 15 m
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