the perimeter of a rectangular swimming pool is 164m. Its lenght is 4m more than twice its breadth. what are the length and the breadth of the pool
the perimeter of a rectangular swimming pool is 164m. Its lenght is 4m more than twice its breadth. what are the length and the breadth of the pool
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Let the breadth of the rectangular pool be x m
Therefore, length = 2x + 4 m
Perimeter = 2 ( 2x + 4 + x )
= 2 ( 3x + 4 )
= 6x + 8
Perimeter ( given ) = 164 m
ATQ,
=> 6x + 8 = 164
=> 6x = 164 - 8
=> 6x = 156
=> x = 26
Breadth = x m = 26 m
Length = 2x + 4 m = 2 * 26 + 4
= 56 m
Answer:
let the Breadth of the rectangle be x
so, the length will be,
l = 2x + 4
The perimeter of the rectangle is ,
2( l + b ) = 154
so,
2 ( 2x + 4 + x ) = 154
6x + 4 = 154
6x = 150
thus x = 25m
and length will be = 2 × 25 + 4
length = 50m
breadth = 25m
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