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The area of the given football pitch is required.

The area of the football pitch is [tex]7700\ \text{m}^2[/tex]

Area and perimeter

l = Length of pitch = 110 m

P = Perimeter of pitch = 360 m

w = Width of pitch

Football pitches are rectangular.

Perimeter of the pitch is given by

[tex]P=2(l+w)\\\Rightarrow w=\dfrac{P}{2}-l\\\Rightarrow w=\dfrac{360}{2}-110\\\Rightarrow w=70\ \text{m}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=110\times 70\\\Rightarrow A=7700\ \text{m}^2[/tex]

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