The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Explanation

To solve the problem step by step, we will define the variables and use the properties of rectangles and the Pythagorean theorem.

### Step 1: Define the Variables
Let the shorter side of the rectangle be \( x \) meters.

### Step 2: Express the Longer Side
According to the problem, the longer side is 30 meters more than the shorter side. Therefore, the longer side can be expressed as:
\[
...