find the breadth of a rectangle whose length is double of its breath and perimeter is 720m
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Answer:
length will be 240m
and breadth will be 120 m
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Step-by-step explanation:
Given:
Length of the rectangle = Double of the breadth
Perimeter of the rectangle = 720m.
To find:
The Breadth of the rectangle.
Solution:
Let the breadth be 'x' metres
According to the question,
Length = 2×Breadth
===> Length = 2x metres
Formula: Perimeter of the rectangle = 2(Length+Breadth).
So, Perimeter = 2(2x+x)
===> 720 = 4x+2x
===> 6x = 720
===> x =
===> x = 120 metres.
Length = 2x = 2×120 = 240m
Breadth = x = 120m.
Check: LHS = Perimeter = 720m
RHS = 2(Length+Breadth) = 2(120+240)=2(360)=720m
Hence, LHS = RHS
Therefore, the breadth of the rectangle is 720m.
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