A farmer wants to make a rectangular paddock for cows.he has 60 meters of fencing materials to cover 3 sides , with the other side being a brick wall. The farmer's paddock area is 450 square meters ?

Let the length of the rectangular paddock be x meters and the width be y meters.

Since the paddock has 3 sides covered with fencing materials, the perimeter of the paddock is given by:
2x + y = 60

The area of the paddock is given by:
xy = 450

From the first equation, we can express y in terms of x:
y = 60 - 2x

Substitute this into the second equation:
x(60 - 2x) = 450
60x - 2x^2 = 450
2x^2 - 60x + 450 = 0
x^2 - 30x + 225 = 0
(x - 15)(x - 15) = 0
x = 15

Therefore, the length of the rectangular paddock is 15 meters and the width is also 15 meters.

Let's assume the length of the paddock is x meters and the width is y meters.

Since the brick wall covers one side, we have to cover the remaining three sides with 60 meters of fencing materials. Therefore:

```
x + 2y = 60
```

The area of the paddock is given as 450 square meters:

```
xy = 450
```

We can solve the first equation for x:

```
x = 60 - 2y
```

Substituting this into the second equation:

```
(60 - 2y)y = 450
```

Simplifying and expanding:

```
60y - 2y^2 = 450
2y^2 - 60y + 450 = 0
```

Factoring:

```
(2y - 30)(y - 15) = 0
```

Therefore, either 2y - 30 = 0 or y - 15 = 0.

Solving for y in both cases:

```
y = 15 or y = 30
```

If y = 15, then x = 60 - 2(15) = 30.

If y = 30, then x = 60 - 2(30) = 0 (which is not possible since the length cannot be zero).

Therefore, the dimensions of the paddock are x = 30 meters and y = 15 meters.