The length of room exceeds the breadth by 4 m. if both the length and the breadth are increased by 2 m, then the area of the room is increased by 44 sq.m . find the length and the breadth of the room
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Answer:
GIVEN :--
Let the breadth be x
Then,
According to the question.
Length will be x + 4
Now,
on adding 2 with both length and breadth we will get length = x + 4 + 2
and
breadth = x +2
As we know,
Area = 2 × ( Length + Breadth )
44 = 2 × ( 2x + 8 )
44 = 4x + 16
4x = 16 + 44
4x = 60
x = 60 ÷ 4x = 15
Therefore,
length = 15 + 4 + 2 = 21
Breadth = 15 + 2 = 17
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