Data:
l=3w
P=276ft
The perimeter of a rectangle is:
[tex]P=2l+2w[/tex]As l=3w:
[tex]P=2(3w)+2w[/tex]Use the equation aboe to find the value of w:
[tex]\begin{gathered} 276=6w+2w \\ 276=8w \\ \frac{276}{8}=w \\ \\ 34.5=w \end{gathered}[/tex]Use the value of w to find the value of l:
[tex]\begin{gathered} l=3w \\ l=3(34.5) \\ l=103.5 \end{gathered}[/tex]Then, the dimensions of the court are: 103.5 long and 34.5 wide