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the length of a playground is twice its breadth . if the perimeter of the playground is 72m , find its dimensions |
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Answer» ong>Answer:P> Dimensions of the PLAYGROUND: \blue { BREADTH = 7\: m }breadth=7m \orange {length} \orange {= 21\:m }length=21m Step-by-step explanation: \BEGIN{gathered} Let \: the \: dimensions \: of \: a \\ rectangular\: playground\: are \end{gathered} Letthedimensionsofa rectangularplaygroundare
\blue {breadth } = \blue {x\: m}breadth=xm \orange {length} = \orange {3X\: m }length=3xm \boxed { \pink { Perimeter \:(P) = 2(length+breadth)}} Perimeter(P)=2(length+breadth)
\implies 2(3x+x) = 56⟹2(3x+x)=56 \implies 2\times 4x = 56⟹2×4x=56 \implies 8x = 56⟹8x=56 \implies x = \frac{56}{8}⟹x= 8 56
\implies \green { x = 7\:m }⟹x=7m Therefore., \blue { breadth = x = 7\: m }breadth=x=7m \orange {length} = \orange {3x\: m= 3\times 7 = 21\:m }length=3xm=3×7=21m |
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