Find the area of square plot of land whose each side measures `8(1)/(2)` metres.

Answer

To find the area of a square plot of land whose each side measures \(8 \frac{1}{2}\) meters, we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The side length is given as \(8 \frac{1}{2}\) meters. We need to convert this mixed number into an improper fraction.

\[ 8 \frac{1}{2} = 8 + \frac{1}{2} = \frac{16}{2} + \frac{1}{2} = \frac{17}{2} \text{ meters} \]

### Step 2: Write the formula for the area of a square
The formula for the area \(A\) of a square is given by:

\[ A = \text{side}^2 \]

### Step 3: Substitute the side length into the formula
Now, we substitute the side length \(\frac{17}{2}\) meters into the area formula:

\[ A = \left(\frac{17}{2}\right)^2 \]

### Step 4: Calculate the area
Now we calculate the square of \(\frac{17}{2}\):

\[ A = \frac{17 \times 17}{2 \times 2} = \frac{289}{4} \text{ square meters} \]

### Step 5: Final answer
Thus, the area of the square plot of land is:

\[ \text{Area} = \frac{289}{4} \text{ square meters} \]

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