A farmer wishes to grow a `100m^2` rectangular vegetable garden. Since he has with the only 30 m barbed wire, the fences three sides of the rectangular garden letting compound wall of his house act as the fourth side-fence. Find the dimensions of his garden.

Explanation

To solve the problem of finding the dimensions of the rectangular vegetable garden that the farmer wishes to grow, we can follow these steps:

### Step 1: Define the variables
Let the length of the garden parallel to the house wall be \( x \) meters. Since the farmer has 30 meters of barbed wire to cover the other three sides, the width of the garden will be \( 30 - 2x \) meters.

### Step 2: Set up the area equation
The area \( A \) of the rectangular garden is given by the formula:
\[
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