Question

the length of a playground is twice its breadth . if the perimeter of the playground is 72m , find its dimensions​

Answer 1

Answer:

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