Question

The length of a rectangular playground is thrice its breadth. If the perimeter of the playground is 56 metres, find the dimensions

Answer 1

hey

here is ur answer

Answer 2

Answer:

Dimensions of the playground:

$\blue { breadth = 7\: m }$

$\orange {length} \orange {= 21\:m }$

Step-by-step explanation:

$Let \: the \: dimensions \: of \: a \\ rectangular\: playground\: are$

$\blue {breadth } = \blue {x\: m}$

$\orange {length} = \orange {3x\: m }$

$\boxed { \pink { Perimeter \:(P) = 2(length+breadth)}}$

$\implies 2(3x+x) = 56$

$\implies 2\times 4x = 56$

$\implies 8x = 56$

$\implies x = \frac{56}{8}$

$\implies \green { x = 7\:m }$

Therefore.,

$\blue { breadth = x = 7\: m }$

$\orange {length} = \orange {3x\: m= 3\times 7 = 21\:m }$

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