Given :-
Perimeter = 228 ft
length = w
breadth = 2w + 6
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The tennis court is in the shape of rectangle ,
[tex]\large\bf\underline{Therefore:-}[/tex]
[tex]\pink{\underline{{\boxed{\textbf{ perimeter \:of \:rectangle = 2 ( length + breadth \: : - }}}}}[/tex]
[tex]\bf\underline{Hence ,\: putting \:the \:values :-}[/tex]
[tex]⟹ 228 = 2 (w +2w+6)[/tex]
[tex]⟹228 = 2 ( 3w + 6 )[/tex]
[tex]⟹228 = 6w + 12[/tex]
[tex]⟹6w + 12 = 228[/tex]
[tex]⟹6w = 228 - 12[/tex]
[tex]⟹ w \: = \frac{216}{6} [/tex]
[tex]⟹w \: = 36[/tex]
[tex]\huge\bf\underline{So , }[/tex]
[tex]\large\bf{length ( w ) = 36}[/tex]
and
[tex]\large\bf{breadth ( 2w + 6 )}[/tex]
[tex]\large\bf{= 2 × 36 + 6}[/tex]
[tex]\large\bf{= 78 }[/tex]
