the perimeter of a square field is 4 x + 8 find the length of its diagonal
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The perimeter of the square is given to be 4x + 8
We will first find the side of the square
Perimeter = 4 × side
4x + 8 = 4 × side
Side = ( 4x + 8 ) /4
= x + 2
Now, the relation between diagonal and side of the square is
Diagonal = √2 × side
= √2( x+2 )
Hence, the diagonal of the square will be √2( x + 2 )
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