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**Hint:**In this problem we are going to find the area of square and then find the remaining area to fall, short of a hectare by subtracting the area from hectare. The field is square in shape, a square is a closed, two-dimensional shape with four equal sides. The hectare is a non-SI metric unit of area equal to a square with \[100\] metre sides, or \[10,000 {m^2}\], that is, \[1\] hectare \[ = 10000{m^2}\], and is primarily used in the measurement of land.

**Complete step-by-step solution:**

In this problem,

We are given that the side of a square field is \[89m\], that is, side \[s = 89m\].

We know that all the sides of a square are equal.

Area of a square \[ = {(side)^2}\]---------(1)

Area of a square field \[ = (89m)\]

By substituting the value in equation (1)

Area of a square \[ = {(side)^2}\]\[ = 89m \times 89m = 7921{m^2}\].

We already know that, \[1\] hectare \[ = 10000{m^2}\].

In our problem, it is asked how many square meters does its area fall, short of a hectare.

Therefore, area remaining to reach \[1\] hectare \[ = 10000 - 7921\] \[ = 2079\]

Area remaining to reach \[1\] hectare \[ = 2079{m^2}\].

By \[2079\] square meters its area falls short of a hectare.

**Note:**All the sides of a square are equal in length.

The area of a square is the product of the length of each side with itself. That is, Area \[A = s \times s\], where s is the length of each side of the square. Simply we can say that, area of a square \[ = {(side)^2}\].

S.I unit of area of square is the metre square (written as $m^2$).

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