8 + 1/3 (eight and one over three ft) more fencing will the gardener need to purchase.
As gardener have a square garden for his flowers.
He has already 4 + 2/3 ft (four and 2 over 3 ft) of fencing in garage.
Length of one side of the garden is 3 + 1/4 ft (three and one over four ft)
Length of one side of the garden is 3 + 1/4 ft.
So, as it is known that fencing is done on the edges of the garden so, total fencing required will be the perimeter of shape of the garden.
that is: 4 x ( length of one side of garden )
let required fencing is 'X' :
So, X = 4 x ( 3 + 1/4 )
X = 4x3 + 4x(1/4)
X = 12 + 1
X = 13 ft
Let gardener needs 'Y' amount of more fencing:
so, Y = X - ( already fencing in garage)
Y = 13 - ( 4 + 2/3 )
Y = 13 - 14/3
Y = 25/3
Y = 8 + 1/3 ft
Hence, 8 + 1/3 (eight and one over three ft) more fencing will the gardener need to purchase.
Learn more about "Finding Area and Parameter" from here: https://brainly.com/question/14350133
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